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Finding the Fourth Proportional to 1,065.07, 1,469.67 and 592.90

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Solution

The fourth proportional to 1,065.07, 1,469.67 and 592.90 is: 818.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.07 : 1,469.67 = 592.90 : x
  2. Step 2: Convert to fraction form
    1,065.07/1,469.67 = 592.90/x
  3. Step 3: Cross multiply
    1,065.07x = 1,469.67 × 592.90
  4. Step 4: Simplify right side
    1,065.07x = 871,367.34
  5. Step 5: Solve for x
    x = 871,367.34/1,065.07
  6. Step 6: Final answer
    x = 818.13

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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.