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Finding the Fourth Proportional to 1,065.29, 1,470.07 and 593.19

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Solution

The fourth proportional to 1,065.29, 1,470.07 and 593.19 is: 818.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.29 : 1,470.07 = 593.19 : x
  2. Step 2: Convert to fraction form
    1,065.29/1,470.07 = 593.19/x
  3. Step 3: Cross multiply
    1,065.29x = 1,470.07 × 593.19
  4. Step 4: Simplify right side
    1,065.29x = 872,030.82
  5. Step 5: Solve for x
    x = 872,030.82/1,065.29
  6. Step 6: Final answer
    x = 818.59

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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.