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Finding the Fourth Proportional to 1,113.84, 1,671.62 and 497.93

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Solution

The fourth proportional to 1,113.84, 1,671.62 and 497.93 is: 747.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,113.84 : 1,671.62 = 497.93 : x
  2. Step 2: Convert to fraction form
    1,113.84/1,671.62 = 497.93/x
  3. Step 3: Cross multiply
    1,113.84x = 1,671.62 × 497.93
  4. Step 4: Simplify right side
    1,113.84x = 832,338.90
  5. Step 5: Solve for x
    x = 832,338.90/1,113.84
  6. Step 6: Final answer
    x = 747.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.