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Finding the Fourth Proportional to 1,113.01, 1,669.51 and 291.28

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Solution

The fourth proportional to 1,113.01, 1,669.51 and 291.28 is: 436.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,113.01 : 1,669.51 = 291.28 : x
  2. Step 2: Convert to fraction form
    1,113.01/1,669.51 = 291.28/x
  3. Step 3: Cross multiply
    1,113.01x = 1,669.51 × 291.28
  4. Step 4: Simplify right side
    1,113.01x = 486,294.19
  5. Step 5: Solve for x
    x = 486,294.19/1,113.01
  6. Step 6: Final answer
    x = 436.92

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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.