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Finding the Fourth Proportional to 1,132.98, 1,696.72 and 576.22

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Solution

The fourth proportional to 1,132.98, 1,696.72 and 576.22 is: 862.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.98 : 1,696.72 = 576.22 : x
  2. Step 2: Convert to fraction form
    1,132.98/1,696.72 = 576.22/x
  3. Step 3: Cross multiply
    1,132.98x = 1,696.72 × 576.22
  4. Step 4: Simplify right side
    1,132.98x = 977,684.00
  5. Step 5: Solve for x
    x = 977,684.00/1,132.98
  6. Step 6: Final answer
    x = 862.93

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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.