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Finding the Fourth Proportional to 1,537.68, 2,307.32 and 498

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Solution

The fourth proportional to 1,537.68, 2,307.32 and 498 is: 747.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,537.68 : 2,307.32 = 498 : x
  2. Step 2: Convert to fraction form
    1,537.68/2,307.32 = 498/x
  3. Step 3: Cross multiply
    1,537.68x = 2,307.32 × 498
  4. Step 4: Simplify right side
    1,537.68x = 1,149,045.36
  5. Step 5: Solve for x
    x = 1,149,045.36/1,537.68
  6. Step 6: Final answer
    x = 747.26

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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.