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Finding the Fourth Proportional to 1,148.90, 1,585.43 and 624.92

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Solution

The fourth proportional to 1,148.90, 1,585.43 and 624.92 is: 862.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.90 : 1,585.43 = 624.92 : x
  2. Step 2: Convert to fraction form
    1,148.90/1,585.43 = 624.92/x
  3. Step 3: Cross multiply
    1,148.90x = 1,585.43 × 624.92
  4. Step 4: Simplify right side
    1,148.90x = 990,766.92
  5. Step 5: Solve for x
    x = 990,766.92/1,148.90
  6. Step 6: Final answer
    x = 862.36

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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.