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Finding the Fourth Proportional to 1,255.24, 1,881.95 and 525.03

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Solution

The fourth proportional to 1,255.24, 1,881.95 and 525.03 is: 787.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,255.24 : 1,881.95 = 525.03 : x
  2. Step 2: Convert to fraction form
    1,255.24/1,881.95 = 525.03/x
  3. Step 3: Cross multiply
    1,255.24x = 1,881.95 × 525.03
  4. Step 4: Simplify right side
    1,255.24x = 988,080.21
  5. Step 5: Solve for x
    x = 988,080.21/1,255.24
  6. Step 6: Final answer
    x = 787.16

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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.