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Finding the Fourth Proportional to 1,065.29, 1,470.08 and 593.22

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Solution

The fourth proportional to 1,065.29, 1,470.08 and 593.22 is: 818.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.29 : 1,470.08 = 593.22 : x
  2. Step 2: Convert to fraction form
    1,065.29/1,470.08 = 593.22/x
  3. Step 3: Cross multiply
    1,065.29x = 1,470.08 × 593.22
  4. Step 4: Simplify right side
    1,065.29x = 872,087.85
  5. Step 5: Solve for x
    x = 872,087.85/1,065.29
  6. Step 6: Final answer
    x = 818.64

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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.