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Finding the Fourth Proportional to 1,287.33, 1,929.91 and 875.31

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Solution

The fourth proportional to 1,287.33, 1,929.91 and 875.31 is: 1,312.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,287.33 : 1,929.91 = 875.31 : x
  2. Step 2: Convert to fraction form
    1,287.33/1,929.91 = 875.31/x
  3. Step 3: Cross multiply
    1,287.33x = 1,929.91 × 875.31
  4. Step 4: Simplify right side
    1,287.33x = 1,689,269.52
  5. Step 5: Solve for x
    x = 1,689,269.52/1,287.33
  6. Step 6: Final answer
    x = 1,312.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.