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Finding the Fourth Proportional to 1,023.04, 1,530.97 and 709.18

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Solution

The fourth proportional to 1,023.04, 1,530.97 and 709.18 is: 1,061.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.04 : 1,530.97 = 709.18 : x
  2. Step 2: Convert to fraction form
    1,023.04/1,530.97 = 709.18/x
  3. Step 3: Cross multiply
    1,023.04x = 1,530.97 × 709.18
  4. Step 4: Simplify right side
    1,023.04x = 1,085,733.30
  5. Step 5: Solve for x
    x = 1,085,733.30/1,023.04
  6. Step 6: Final answer
    x = 1,061.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.