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Finding the Fourth Proportional to 1,257.25, 1,886.27 and 564.50

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Solution

The fourth proportional to 1,257.25, 1,886.27 and 564.50 is: 846.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.25 : 1,886.27 = 564.50 : x
  2. Step 2: Convert to fraction form
    1,257.25/1,886.27 = 564.50/x
  3. Step 3: Cross multiply
    1,257.25x = 1,886.27 × 564.50
  4. Step 4: Simplify right side
    1,257.25x = 1,064,799.42
  5. Step 5: Solve for x
    x = 1,064,799.42/1,257.25
  6. Step 6: Final answer
    x = 846.93

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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.