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Finding the Fourth Proportional to 1,254.61, 1,882.09 and 524.02

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Solution

The fourth proportional to 1,254.61, 1,882.09 and 524.02 is: 786.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,254.61 : 1,882.09 = 524.02 : x
  2. Step 2: Convert to fraction form
    1,254.61/1,882.09 = 524.02/x
  3. Step 3: Cross multiply
    1,254.61x = 1,882.09 × 524.02
  4. Step 4: Simplify right side
    1,254.61x = 986,240.77
  5. Step 5: Solve for x
    x = 986,240.77/1,254.61
  6. Step 6: Final answer
    x = 786.10

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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.