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Finding the Fourth Proportional to 882.79, 1,322.78 and 708.55

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Solution

The fourth proportional to 882.79, 1,322.78 and 708.55 is: 1,061.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.79 : 1,322.78 = 708.55 : x
  2. Step 2: Convert to fraction form
    882.79/1,322.78 = 708.55/x
  3. Step 3: Cross multiply
    882.79x = 1,322.78 × 708.55
  4. Step 4: Simplify right side
    882.79x = 937,255.77
  5. Step 5: Solve for x
    x = 937,255.77/882.79
  6. Step 6: Final answer
    x = 1,061.70

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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.