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Finding the Fourth Proportional to 746.77, 1,030.62 and 415.30

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Solution

The fourth proportional to 746.77, 1,030.62 and 415.30 is: 573.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.77 : 1,030.62 = 415.30 : x
  2. Step 2: Convert to fraction form
    746.77/1,030.62 = 415.30/x
  3. Step 3: Cross multiply
    746.77x = 1,030.62 × 415.30
  4. Step 4: Simplify right side
    746.77x = 428,020.30
  5. Step 5: Solve for x
    x = 428,020.30/746.77
  6. Step 6: Final answer
    x = 573.16

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 (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.