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Finding the Fourth Proportional to 958.47, 1,434.90 and 592.14

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Solution

The fourth proportional to 958.47, 1,434.90 and 592.14 is: 886.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    958.47 : 1,434.90 = 592.14 : x
  2. Step 2: Convert to fraction form
    958.47/1,434.90 = 592.14/x
  3. Step 3: Cross multiply
    958.47x = 1,434.90 × 592.14
  4. Step 4: Simplify right side
    958.47x = 849,661.69
  5. Step 5: Solve for x
    x = 849,661.69/958.47
  6. Step 6: Final answer
    x = 886.48

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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.