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Finding the Fourth Proportional to 1,065.62, 1,470.50 and 593.49

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Solution

The fourth proportional to 1,065.62, 1,470.50 and 593.49 is: 818.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.62 : 1,470.50 = 593.49 : x
  2. Step 2: Convert to fraction form
    1,065.62/1,470.50 = 593.49/x
  3. Step 3: Cross multiply
    1,065.62x = 1,470.50 × 593.49
  4. Step 4: Simplify right side
    1,065.62x = 872,719.69
  5. Step 5: Solve for x
    x = 872,719.69/1,065.62
  6. Step 6: Final answer
    x = 818.98

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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.