Home / 1,382.18-2,073.59-457.70

Finding the Fourth Proportional to 1,382.18, 2,073.59 and 457.70

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Solution

The fourth proportional to 1,382.18, 2,073.59 and 457.70 is: 686.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.18 : 2,073.59 = 457.70 : x
  2. Step 2: Convert to fraction form
    1,382.18/2,073.59 = 457.70/x
  3. Step 3: Cross multiply
    1,382.18x = 2,073.59 × 457.70
  4. Step 4: Simplify right side
    1,382.18x = 949,082.14
  5. Step 5: Solve for x
    x = 949,082.14/1,382.18
  6. Step 6: Final answer
    x = 686.66

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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.