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Finding the Fourth Proportional to 1,143.68, 1,712.16 and 709.52

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Solution

The fourth proportional to 1,143.68, 1,712.16 and 709.52 is: 1,062.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143.68 : 1,712.16 = 709.52 : x
  2. Step 2: Convert to fraction form
    1,143.68/1,712.16 = 709.52/x
  3. Step 3: Cross multiply
    1,143.68x = 1,712.16 × 709.52
  4. Step 4: Simplify right side
    1,143.68x = 1,214,811.76
  5. Step 5: Solve for x
    x = 1,214,811.76/1,143.68
  6. Step 6: Final answer
    x = 1,062.20

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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.