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Finding the Fourth Proportional to 1,113.59, 1,671.13 and 593.95

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Solution

The fourth proportional to 1,113.59, 1,671.13 and 593.95 is: 891.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,113.59 : 1,671.13 = 593.95 : x
  2. Step 2: Convert to fraction form
    1,113.59/1,671.13 = 593.95/x
  3. Step 3: Cross multiply
    1,113.59x = 1,671.13 × 593.95
  4. Step 4: Simplify right side
    1,113.59x = 992,562.00
  5. Step 5: Solve for x
    x = 992,562.00/1,113.59
  6. Step 6: Final answer
    x = 891.32

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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.