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Finding the Fourth Proportional to 958.71, 1,323.06 and 565.77

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Solution

The fourth proportional to 958.71, 1,323.06 and 565.77 is: 780.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    958.71 : 1,323.06 = 565.77 : x
  2. Step 2: Convert to fraction form
    958.71/1,323.06 = 565.77/x
  3. Step 3: Cross multiply
    958.71x = 1,323.06 × 565.77
  4. Step 4: Simplify right side
    958.71x = 748,547.66
  5. Step 5: Solve for x
    x = 748,547.66/958.71
  6. Step 6: Final answer
    x = 780.79

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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.