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Finding the Fourth Proportional to 1,034, 1,549.76 and 572.02

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Solution

The fourth proportional to 1,034, 1,549.76 and 572.02 is: 857.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034 : 1,549.76 = 572.02 : x
  2. Step 2: Convert to fraction form
    1,034/1,549.76 = 572.02/x
  3. Step 3: Cross multiply
    1,034x = 1,549.76 × 572.02
  4. Step 4: Simplify right side
    1,034x = 886,493.72
  5. Step 5: Solve for x
    x = 886,493.72/1,034
  6. Step 6: Final answer
    x = 857.34

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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.