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Finding the Fourth Proportional to 1,148.67, 1,585.31 and 756.50

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Solution

The fourth proportional to 1,148.67, 1,585.31 and 756.50 is: 1,044.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.67 : 1,585.31 = 756.50 : x
  2. Step 2: Convert to fraction form
    1,148.67/1,585.31 = 756.50/x
  3. Step 3: Cross multiply
    1,148.67x = 1,585.31 × 756.50
  4. Step 4: Simplify right side
    1,148.67x = 1,199,275.31
  5. Step 5: Solve for x
    x = 1,199,275.31/1,148.67
  6. Step 6: Final answer
    x = 1,044.06

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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.