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Finding the Fourth Proportional to 1,047.96, 1,572.12 and 470.52

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Solution

The fourth proportional to 1,047.96, 1,572.12 and 470.52 is: 705.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.96 : 1,572.12 = 470.52 : x
  2. Step 2: Convert to fraction form
    1,047.96/1,572.12 = 470.52/x
  3. Step 3: Cross multiply
    1,047.96x = 1,572.12 × 470.52
  4. Step 4: Simplify right side
    1,047.96x = 739,713.90
  5. Step 5: Solve for x
    x = 739,713.90/1,047.96
  6. Step 6: Final answer
    x = 705.86

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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.