Home / 1,432.16-2,148.41-507.53

Finding the Fourth Proportional to 1,432.16, 2,148.41 and 507.53

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Solution

The fourth proportional to 1,432.16, 2,148.41 and 507.53 is: 761.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,432.16 : 2,148.41 = 507.53 : x
  2. Step 2: Convert to fraction form
    1,432.16/2,148.41 = 507.53/x
  3. Step 3: Cross multiply
    1,432.16x = 2,148.41 × 507.53
  4. Step 4: Simplify right side
    1,432.16x = 1,090,389.17
  5. Step 5: Solve for x
    x = 1,090,389.17/1,432.16
  6. Step 6: Final answer
    x = 761.36

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Why These Related Problems?

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