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Finding the Fourth Proportional to 1,065.46, 1,470.31 and 593.34

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Solution

The fourth proportional to 1,065.46, 1,470.31 and 593.34 is: 818.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.46 : 1,470.31 = 593.34 : x
  2. Step 2: Convert to fraction form
    1,065.46/1,470.31 = 593.34/x
  3. Step 3: Cross multiply
    1,065.46x = 1,470.31 × 593.34
  4. Step 4: Simplify right side
    1,065.46x = 872,393.74
  5. Step 5: Solve for x
    x = 872,393.74/1,065.46
  6. Step 6: Final answer
    x = 818.80

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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.