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Finding the Fourth Proportional to 1,065.68, 1,470.56 and 593.52

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Solution

The fourth proportional to 1,065.68, 1,470.56 and 593.52 is: 819.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.68 : 1,470.56 = 593.52 : x
  2. Step 2: Convert to fraction form
    1,065.68/1,470.56 = 593.52/x
  3. Step 3: Cross multiply
    1,065.68x = 1,470.56 × 593.52
  4. Step 4: Simplify right side
    1,065.68x = 872,806.77
  5. Step 5: Solve for x
    x = 872,806.77/1,065.68
  6. Step 6: Final answer
    x = 819.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.