Home / 1,432.02-2,148.12-458.13

Finding the Fourth Proportional to 1,432.02, 2,148.12 and 458.13

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Solution

The fourth proportional to 1,432.02, 2,148.12 and 458.13 is: 687.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,432.02 : 2,148.12 = 458.13 : x
  2. Step 2: Convert to fraction form
    1,432.02/2,148.12 = 458.13/x
  3. Step 3: Cross multiply
    1,432.02x = 2,148.12 × 458.13
  4. Step 4: Simplify right side
    1,432.02x = 984,118.22
  5. Step 5: Solve for x
    x = 984,118.22/1,432.02
  6. Step 6: Final answer
    x = 687.22

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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.