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Finding the Fourth Proportional to 1,113.15, 1,669.73 and 291.42

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Solution

The fourth proportional to 1,113.15, 1,669.73 and 291.42 is: 437.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,113.15 : 1,669.73 = 291.42 : x
  2. Step 2: Convert to fraction form
    1,113.15/1,669.73 = 291.42/x
  3. Step 3: Cross multiply
    1,113.15x = 1,669.73 × 291.42
  4. Step 4: Simplify right side
    1,113.15x = 486,591.26
  5. Step 5: Solve for x
    x = 486,591.26/1,113.15
  6. Step 6: Final answer
    x = 437.13

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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.