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Finding the Fourth Proportional to 1,172.56, 1,758.48 and 587.20

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Solution

The fourth proportional to 1,172.56, 1,758.48 and 587.20 is: 880.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,172.56 : 1,758.48 = 587.20 : x
  2. Step 2: Convert to fraction form
    1,172.56/1,758.48 = 587.20/x
  3. Step 3: Cross multiply
    1,172.56x = 1,758.48 × 587.20
  4. Step 4: Simplify right side
    1,172.56x = 1,032,579.46
  5. Step 5: Solve for x
    x = 1,032,579.46/1,172.56
  6. Step 6: Final answer
    x = 880.62

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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.