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Finding the Fourth Proportional to 1,257.56, 1,885.74 and 564.24

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Solution

The fourth proportional to 1,257.56, 1,885.74 and 564.24 is: 846.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.56 : 1,885.74 = 564.24 : x
  2. Step 2: Convert to fraction form
    1,257.56/1,885.74 = 564.24/x
  3. Step 3: Cross multiply
    1,257.56x = 1,885.74 × 564.24
  4. Step 4: Simplify right side
    1,257.56x = 1,064,000.51
  5. Step 5: Solve for x
    x = 1,064,000.51/1,257.56
  6. Step 6: Final answer
    x = 846.08

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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.