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Finding the Fourth Proportional to 1,065.34, 1,470.09 and 593.20

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Solution

The fourth proportional to 1,065.34, 1,470.09 and 593.20 is: 818.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.34 : 1,470.09 = 593.20 : x
  2. Step 2: Convert to fraction form
    1,065.34/1,470.09 = 593.20/x
  3. Step 3: Cross multiply
    1,065.34x = 1,470.09 × 593.20
  4. Step 4: Simplify right side
    1,065.34x = 872,058.10
  5. Step 5: Solve for x
    x = 872,058.10/1,065.34
  6. Step 6: Final answer
    x = 818.57

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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.