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Finding the Fourth Proportional to 1,012.55, 1,397.89 and 658.79

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Solution

The fourth proportional to 1,012.55, 1,397.89 and 658.79 is: 909.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012.55 : 1,397.89 = 658.79 : x
  2. Step 2: Convert to fraction form
    1,012.55/1,397.89 = 658.79/x
  3. Step 3: Cross multiply
    1,012.55x = 1,397.89 × 658.79
  4. Step 4: Simplify right side
    1,012.55x = 920,907.32
  5. Step 5: Solve for x
    x = 920,907.32/1,012.55
  6. Step 6: Final answer
    x = 909.49

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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.