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Finding the Fourth Proportional to 1,148.80, 1,585.28 and 624.83

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Solution

The fourth proportional to 1,148.80, 1,585.28 and 624.83 is: 862.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.80 : 1,585.28 = 624.83 : x
  2. Step 2: Convert to fraction form
    1,148.80/1,585.28 = 624.83/x
  3. Step 3: Cross multiply
    1,148.80x = 1,585.28 × 624.83
  4. Step 4: Simplify right side
    1,148.80x = 990,530.50
  5. Step 5: Solve for x
    x = 990,530.50/1,148.80
  6. Step 6: Final answer
    x = 862.23

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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.