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Finding the Fourth Proportional to 956.93, 1,320.74 and 584.24

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Solution

The fourth proportional to 956.93, 1,320.74 and 584.24 is: 806.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.93 : 1,320.74 = 584.24 : x
  2. Step 2: Convert to fraction form
    956.93/1,320.74 = 584.24/x
  3. Step 3: Cross multiply
    956.93x = 1,320.74 × 584.24
  4. Step 4: Simplify right side
    956.93x = 771,619.61
  5. Step 5: Solve for x
    x = 771,619.61/956.93
  6. Step 6: Final answer
    x = 806.35

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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.