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Finding the Fourth Proportional to 973.02, 1,452.17 and 947.10

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Solution

The fourth proportional to 973.02, 1,452.17 and 947.10 is: 1,413.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.02 : 1,452.17 = 947.10 : x
  2. Step 2: Convert to fraction form
    973.02/1,452.17 = 947.10/x
  3. Step 3: Cross multiply
    973.02x = 1,452.17 × 947.10
  4. Step 4: Simplify right side
    973.02x = 1,375,350.21
  5. Step 5: Solve for x
    x = 1,375,350.21/973.02
  6. Step 6: Final answer
    x = 1,413.49

Related Problems

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.