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Finding the Fourth Proportional to 830.67, 1,145.52 and 536.10

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Solution

The fourth proportional to 830.67, 1,145.52 and 536.10 is: 739.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.67 : 1,145.52 = 536.10 : x
  2. Step 2: Convert to fraction form
    830.67/1,145.52 = 536.10/x
  3. Step 3: Cross multiply
    830.67x = 1,145.52 × 536.10
  4. Step 4: Simplify right side
    830.67x = 614,113.27
  5. Step 5: Solve for x
    x = 614,113.27/830.67
  6. Step 6: Final answer
    x = 739.30

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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.