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Finding the Fourth Proportional to 981.49, 1,470.61 and 652.00

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Solution

The fourth proportional to 981.49, 1,470.61 and 652.00 is: 976.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.49 : 1,470.61 = 652.00 : x
  2. Step 2: Convert to fraction form
    981.49/1,470.61 = 652.00/x
  3. Step 3: Cross multiply
    981.49x = 1,470.61 × 652.00
  4. Step 4: Simplify right side
    981.49x = 958,833.95
  5. Step 5: Solve for x
    x = 958,833.95/981.49
  6. Step 6: Final answer
    x = 976.91

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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.