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Finding the Fourth Proportional to 1,154.32, 1,731.84 and 385.36

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Solution

The fourth proportional to 1,154.32, 1,731.84 and 385.36 is: 578.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.32 : 1,731.84 = 385.36 : x
  2. Step 2: Convert to fraction form
    1,154.32/1,731.84 = 385.36/x
  3. Step 3: Cross multiply
    1,154.32x = 1,731.84 × 385.36
  4. Step 4: Simplify right side
    1,154.32x = 667,381.86
  5. Step 5: Solve for x
    x = 667,381.86/1,154.32
  6. Step 6: Final answer
    x = 578.16

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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.