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Finding the Fourth Proportional to 956.88, 1,320.60 and 583.92

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Solution

The fourth proportional to 956.88, 1,320.60 and 583.92 is: 805.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.88 : 1,320.60 = 583.92 : x
  2. Step 2: Convert to fraction form
    956.88/1,320.60 = 583.92/x
  3. Step 3: Cross multiply
    956.88x = 1,320.60 × 583.92
  4. Step 4: Simplify right side
    956.88x = 771,124.75
  5. Step 5: Solve for x
    x = 771,124.75/956.88
  6. Step 6: Final answer
    x = 805.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.