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Finding the Fourth Proportional to 1,148.91, 1,585.49 and 624.94

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Solution

The fourth proportional to 1,148.91, 1,585.49 and 624.94 is: 862.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.91 : 1,585.49 = 624.94 : x
  2. Step 2: Convert to fraction form
    1,148.91/1,585.49 = 624.94/x
  3. Step 3: Cross multiply
    1,148.91x = 1,585.49 × 624.94
  4. Step 4: Simplify right side
    1,148.91x = 990,836.12
  5. Step 5: Solve for x
    x = 990,836.12/1,148.91
  6. Step 6: Final answer
    x = 862.41

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Why These Related Problems?

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