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Finding the Fourth Proportional to 649.74, 972.29 and 606.30

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Solution

The fourth proportional to 649.74, 972.29 and 606.30 is: 907.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.74 : 972.29 = 606.30 : x
  2. Step 2: Convert to fraction form
    649.74/972.29 = 606.30/x
  3. Step 3: Cross multiply
    649.74x = 972.29 × 606.30
  4. Step 4: Simplify right side
    649.74x = 589,497.30
  5. Step 5: Solve for x
    x = 589,497.30/649.74
  6. Step 6: Final answer
    x = 907.28

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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.