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Finding the Fourth Proportional to 1,257.04, 1,884.24 and 525.60

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Solution

The fourth proportional to 1,257.04, 1,884.24 and 525.60 is: 787.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.04 : 1,884.24 = 525.60 : x
  2. Step 2: Convert to fraction form
    1,257.04/1,884.24 = 525.60/x
  3. Step 3: Cross multiply
    1,257.04x = 1,884.24 × 525.60
  4. Step 4: Simplify right side
    1,257.04x = 990,356.54
  5. Step 5: Solve for x
    x = 990,356.54/1,257.04
  6. Step 6: Final answer
    x = 787.85

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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.