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Finding the Fourth Proportional to 1,046.92, 1,570.78 and 470.20

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Solution

The fourth proportional to 1,046.92, 1,570.78 and 470.20 is: 705.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.92 : 1,570.78 = 470.20 : x
  2. Step 2: Convert to fraction form
    1,046.92/1,570.78 = 470.20/x
  3. Step 3: Cross multiply
    1,046.92x = 1,570.78 × 470.20
  4. Step 4: Simplify right side
    1,046.92x = 738,580.76
  5. Step 5: Solve for x
    x = 738,580.76/1,046.92
  6. Step 6: Final answer
    x = 705.48

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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.