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Finding the Fourth Proportional to 1,531, 2,296.86 and 665.32

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Solution

The fourth proportional to 1,531, 2,296.86 and 665.32 is: 998.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,531 : 2,296.86 = 665.32 : x
  2. Step 2: Convert to fraction form
    1,531/2,296.86 = 665.32/x
  3. Step 3: Cross multiply
    1,531x = 2,296.86 × 665.32
  4. Step 4: Simplify right side
    1,531x = 1,528,146.90
  5. Step 5: Solve for x
    x = 1,528,146.90/1,531
  6. Step 6: Final answer
    x = 998.14

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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.