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Finding the Fourth Proportional to 1,231.90, 1,699.98 and 734.53

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Solution

The fourth proportional to 1,231.90, 1,699.98 and 734.53 is: 1,013.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,231.90 : 1,699.98 = 734.53 : x
  2. Step 2: Convert to fraction form
    1,231.90/1,699.98 = 734.53/x
  3. Step 3: Cross multiply
    1,231.90x = 1,699.98 × 734.53
  4. Step 4: Simplify right side
    1,231.90x = 1,248,686.31
  5. Step 5: Solve for x
    x = 1,248,686.31/1,231.90
  6. Step 6: Final answer
    x = 1,013.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.