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Finding the Fourth Proportional to 1,029.95, 1,545.56 and 591.76

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Solution

The fourth proportional to 1,029.95, 1,545.56 and 591.76 is: 887.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.95 : 1,545.56 = 591.76 : x
  2. Step 2: Convert to fraction form
    1,029.95/1,545.56 = 591.76/x
  3. Step 3: Cross multiply
    1,029.95x = 1,545.56 × 591.76
  4. Step 4: Simplify right side
    1,029.95x = 914,591.42
  5. Step 5: Solve for x
    x = 914,591.42/1,029.95
  6. Step 6: Final answer
    x = 887.99

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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.