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Finding the Fourth Proportional to 1,154.38, 1,731.56 and 384.88

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Solution

The fourth proportional to 1,154.38, 1,731.56 and 384.88 is: 577.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.38 : 1,731.56 = 384.88 : x
  2. Step 2: Convert to fraction form
    1,154.38/1,731.56 = 384.88/x
  3. Step 3: Cross multiply
    1,154.38x = 1,731.56 × 384.88
  4. Step 4: Simplify right side
    1,154.38x = 666,442.81
  5. Step 5: Solve for x
    x = 666,442.81/1,154.38
  6. Step 6: Final answer
    x = 577.32

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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.