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Finding the Fourth Proportional to 781.68, 1,168.05 and 595.56

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Solution

The fourth proportional to 781.68, 1,168.05 and 595.56 is: 889.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.68 : 1,168.05 = 595.56 : x
  2. Step 2: Convert to fraction form
    781.68/1,168.05 = 595.56/x
  3. Step 3: Cross multiply
    781.68x = 1,168.05 × 595.56
  4. Step 4: Simplify right side
    781.68x = 695,643.86
  5. Step 5: Solve for x
    x = 695,643.86/781.68
  6. Step 6: Final answer
    x = 889.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.