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Finding the Fourth Proportional to 1,256.66, 1,885.31 and 572.50

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Solution

The fourth proportional to 1,256.66, 1,885.31 and 572.50 is: 858.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,256.66 : 1,885.31 = 572.50 : x
  2. Step 2: Convert to fraction form
    1,256.66/1,885.31 = 572.50/x
  3. Step 3: Cross multiply
    1,256.66x = 1,885.31 × 572.50
  4. Step 4: Simplify right side
    1,256.66x = 1,079,339.98
  5. Step 5: Solve for x
    x = 1,079,339.98/1,256.66
  6. Step 6: Final answer
    x = 858.90

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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.