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Finding the Fourth Proportional to 1,148.47, 1,584.88 and 624.50

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Solution

The fourth proportional to 1,148.47, 1,584.88 and 624.50 is: 861.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.47 : 1,584.88 = 624.50 : x
  2. Step 2: Convert to fraction form
    1,148.47/1,584.88 = 624.50/x
  3. Step 3: Cross multiply
    1,148.47x = 1,584.88 × 624.50
  4. Step 4: Simplify right side
    1,148.47x = 989,752.04
  5. Step 5: Solve for x
    x = 989,752.04/1,148.47
  6. Step 6: Final answer
    x = 861.80

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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.