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Finding the Fourth Proportional to 1,065.95, 1,470.92 and 593.77

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Solution

The fourth proportional to 1,065.95, 1,470.92 and 593.77 is: 819.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.95 : 1,470.92 = 593.77 : x
  2. Step 2: Convert to fraction form
    1,065.95/1,470.92 = 593.77/x
  3. Step 3: Cross multiply
    1,065.95x = 1,470.92 × 593.77
  4. Step 4: Simplify right side
    1,065.95x = 873,388.17
  5. Step 5: Solve for x
    x = 873,388.17/1,065.95
  6. Step 6: Final answer
    x = 819.35

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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.