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Finding the Fourth Proportional to 1,257.63, 1,886.57 and 564.60

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Solution

The fourth proportional to 1,257.63, 1,886.57 and 564.60 is: 846.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.63 : 1,886.57 = 564.60 : x
  2. Step 2: Convert to fraction form
    1,257.63/1,886.57 = 564.60/x
  3. Step 3: Cross multiply
    1,257.63x = 1,886.57 × 564.60
  4. Step 4: Simplify right side
    1,257.63x = 1,065,157.42
  5. Step 5: Solve for x
    x = 1,065,157.42/1,257.63
  6. Step 6: Final answer
    x = 846.96

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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.