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Finding the Fourth Proportional to 640.86, 962.59 and 565.53

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Solution

The fourth proportional to 640.86, 962.59 and 565.53 is: 849.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.86 : 962.59 = 565.53 : x
  2. Step 2: Convert to fraction form
    640.86/962.59 = 565.53/x
  3. Step 3: Cross multiply
    640.86x = 962.59 × 565.53
  4. Step 4: Simplify right side
    640.86x = 544,368.71
  5. Step 5: Solve for x
    x = 544,368.71/640.86
  6. Step 6: Final answer
    x = 849.44

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