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Finding the Fourth Proportional to 1,113.78, 1,670.58 and 497.46

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Solution

The fourth proportional to 1,113.78, 1,670.58 and 497.46 is: 746.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,113.78 : 1,670.58 = 497.46 : x
  2. Step 2: Convert to fraction form
    1,113.78/1,670.58 = 497.46/x
  3. Step 3: Cross multiply
    1,113.78x = 1,670.58 × 497.46
  4. Step 4: Simplify right side
    1,113.78x = 831,046.73
  5. Step 5: Solve for x
    x = 831,046.73/1,113.78
  6. Step 6: Final answer
    x = 746.15

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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.