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Finding the Fourth Proportional to 1,148.31, 1,582.37 and 816.18

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Solution

The fourth proportional to 1,148.31, 1,582.37 and 816.18 is: 1,124.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.31 : 1,582.37 = 816.18 : x
  2. Step 2: Convert to fraction form
    1,148.31/1,582.37 = 816.18/x
  3. Step 3: Cross multiply
    1,148.31x = 1,582.37 × 816.18
  4. Step 4: Simplify right side
    1,148.31x = 1,291,491.79
  5. Step 5: Solve for x
    x = 1,291,491.79/1,148.31
  6. Step 6: Final answer
    x = 1,124.69

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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.