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Finding the Fourth Proportional to 738.06, 1,107.16 and 565

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Solution

The fourth proportional to 738.06, 1,107.16 and 565 is: 847.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.06 : 1,107.16 = 565 : x
  2. Step 2: Convert to fraction form
    738.06/1,107.16 = 565/x
  3. Step 3: Cross multiply
    738.06x = 1,107.16 × 565
  4. Step 4: Simplify right side
    738.06x = 625,545.40
  5. Step 5: Solve for x
    x = 625,545.40/738.06
  6. Step 6: Final answer
    x = 847.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.