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Finding the Fourth Proportional to 1,505.66, 2,258.15 and 581.34

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Solution

The fourth proportional to 1,505.66, 2,258.15 and 581.34 is: 871.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,505.66 : 2,258.15 = 581.34 : x
  2. Step 2: Convert to fraction form
    1,505.66/2,258.15 = 581.34/x
  3. Step 3: Cross multiply
    1,505.66x = 2,258.15 × 581.34
  4. Step 4: Simplify right side
    1,505.66x = 1,312,758.48
  5. Step 5: Solve for x
    x = 1,312,758.48/1,505.66
  6. Step 6: Final answer
    x = 871.89

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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.