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Finding the Fourth Proportional to 853.29, 1,281.06 and 718.02

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Solution

The fourth proportional to 853.29, 1,281.06 and 718.02 is: 1,077.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.29 : 1,281.06 = 718.02 : x
  2. Step 2: Convert to fraction form
    853.29/1,281.06 = 718.02/x
  3. Step 3: Cross multiply
    853.29x = 1,281.06 × 718.02
  4. Step 4: Simplify right side
    853.29x = 919,826.70
  5. Step 5: Solve for x
    x = 919,826.70/853.29
  6. Step 6: Final answer
    x = 1,077.98

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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.