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Finding the Fourth Proportional to 1,155.14, 1,594.08 and 631.17

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Solution

The fourth proportional to 1,155.14, 1,594.08 and 631.17 is: 871.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,155.14 : 1,594.08 = 631.17 : x
  2. Step 2: Convert to fraction form
    1,155.14/1,594.08 = 631.17/x
  3. Step 3: Cross multiply
    1,155.14x = 1,594.08 × 631.17
  4. Step 4: Simplify right side
    1,155.14x = 1,006,135.47
  5. Step 5: Solve for x
    x = 1,006,135.47/1,155.14
  6. Step 6: Final answer
    x = 871.01

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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.