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Finding the Fourth Proportional to 649.11, 895.14 and 524.69

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Solution

The fourth proportional to 649.11, 895.14 and 524.69 is: 723.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.11 : 895.14 = 524.69 : x
  2. Step 2: Convert to fraction form
    649.11/895.14 = 524.69/x
  3. Step 3: Cross multiply
    649.11x = 895.14 × 524.69
  4. Step 4: Simplify right side
    649.11x = 469,666.53
  5. Step 5: Solve for x
    x = 469,666.53/649.11
  6. Step 6: Final answer
    x = 723.55

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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.