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Finding the Fourth Proportional to 1,257.72, 1,886.16 and 527.10

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Solution

The fourth proportional to 1,257.72, 1,886.16 and 527.10 is: 790.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.72 : 1,886.16 = 527.10 : x
  2. Step 2: Convert to fraction form
    1,257.72/1,886.16 = 527.10/x
  3. Step 3: Cross multiply
    1,257.72x = 1,886.16 × 527.10
  4. Step 4: Simplify right side
    1,257.72x = 994,194.94
  5. Step 5: Solve for x
    x = 994,194.94/1,257.72
  6. Step 6: Final answer
    x = 790.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.