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Finding the Fourth Proportional to 1,065.03, 1,469.65 and 592.87

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Solution

The fourth proportional to 1,065.03, 1,469.65 and 592.87 is: 818.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.03 : 1,469.65 = 592.87 : x
  2. Step 2: Convert to fraction form
    1,065.03/1,469.65 = 592.87/x
  3. Step 3: Cross multiply
    1,065.03x = 1,469.65 × 592.87
  4. Step 4: Simplify right side
    1,065.03x = 871,311.40
  5. Step 5: Solve for x
    x = 871,311.40/1,065.03
  6. Step 6: Final answer
    x = 818.11

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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.