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Finding the Fourth Proportional to 697.92, 962.78 and 587.35

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Solution

The fourth proportional to 697.92, 962.78 and 587.35 is: 810.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.92 : 962.78 = 587.35 : x
  2. Step 2: Convert to fraction form
    697.92/962.78 = 587.35/x
  3. Step 3: Cross multiply
    697.92x = 962.78 × 587.35
  4. Step 4: Simplify right side
    697.92x = 565,488.83
  5. Step 5: Solve for x
    x = 565,488.83/697.92
  6. Step 6: Final answer
    x = 810.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.