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Finding the Fourth Proportional to 956.79, 1,320.56 and 584.10

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Solution

The fourth proportional to 956.79, 1,320.56 and 584.10 is: 806.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.79 : 1,320.56 = 584.10 : x
  2. Step 2: Convert to fraction form
    956.79/1,320.56 = 584.10/x
  3. Step 3: Cross multiply
    956.79x = 1,320.56 × 584.10
  4. Step 4: Simplify right side
    956.79x = 771,339.48
  5. Step 5: Solve for x
    x = 771,339.48/956.79
  6. Step 6: Final answer
    x = 806.17

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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.