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Finding the Fourth Proportional to 1,154.28, 1,592.94 and 630.35

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Solution

The fourth proportional to 1,154.28, 1,592.94 and 630.35 is: 869.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.28 : 1,592.94 = 630.35 : x
  2. Step 2: Convert to fraction form
    1,154.28/1,592.94 = 630.35/x
  3. Step 3: Cross multiply
    1,154.28x = 1,592.94 × 630.35
  4. Step 4: Simplify right side
    1,154.28x = 1,004,107.32
  5. Step 5: Solve for x
    x = 1,004,107.32/1,154.28
  6. Step 6: Final answer
    x = 869.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.