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Finding the Fourth Proportional to 980.35, 1,470.05 and 569.61

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Solution

The fourth proportional to 980.35, 1,470.05 and 569.61 is: 854.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.35 : 1,470.05 = 569.61 : x
  2. Step 2: Convert to fraction form
    980.35/1,470.05 = 569.61/x
  3. Step 3: Cross multiply
    980.35x = 1,470.05 × 569.61
  4. Step 4: Simplify right side
    980.35x = 837,349.25
  5. Step 5: Solve for x
    x = 837,349.25/980.35
  6. Step 6: Final answer
    x = 854.13

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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.