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Finding the Fourth Proportional to 1,154.58, 1,593.27 and 630.63

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Solution

The fourth proportional to 1,154.58, 1,593.27 and 630.63 is: 870.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.58 : 1,593.27 = 630.63 : x
  2. Step 2: Convert to fraction form
    1,154.58/1,593.27 = 630.63/x
  3. Step 3: Cross multiply
    1,154.58x = 1,593.27 × 630.63
  4. Step 4: Simplify right side
    1,154.58x = 1,004,763.86
  5. Step 5: Solve for x
    x = 1,004,763.86/1,154.58
  6. Step 6: Final answer
    x = 870.24

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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.