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Finding the Fourth Proportional to 1,065.57, 1,470.56 and 593.50

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Solution

The fourth proportional to 1,065.57, 1,470.56 and 593.50 is: 819.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.57 : 1,470.56 = 593.50 : x
  2. Step 2: Convert to fraction form
    1,065.57/1,470.56 = 593.50/x
  3. Step 3: Cross multiply
    1,065.57x = 1,470.56 × 593.50
  4. Step 4: Simplify right side
    1,065.57x = 872,777.36
  5. Step 5: Solve for x
    x = 872,777.36/1,065.57
  6. Step 6: Final answer
    x = 819.07

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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.