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Finding the Fourth Proportional to 1,148.81, 1,585.24 and 651.47

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Solution

The fourth proportional to 1,148.81, 1,585.24 and 651.47 is: 898.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.81 : 1,585.24 = 651.47 : x
  2. Step 2: Convert to fraction form
    1,148.81/1,585.24 = 651.47/x
  3. Step 3: Cross multiply
    1,148.81x = 1,585.24 × 651.47
  4. Step 4: Simplify right side
    1,148.81x = 1,032,726.75
  5. Step 5: Solve for x
    x = 1,032,726.75/1,148.81
  6. Step 6: Final answer
    x = 898.96

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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.