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Finding the Fourth Proportional to 971.74, 1,456.40 and 582.04

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Solution

The fourth proportional to 971.74, 1,456.40 and 582.04 is: 872.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.74 : 1,456.40 = 582.04 : x
  2. Step 2: Convert to fraction form
    971.74/1,456.40 = 582.04/x
  3. Step 3: Cross multiply
    971.74x = 1,456.40 × 582.04
  4. Step 4: Simplify right side
    971.74x = 847,683.06
  5. Step 5: Solve for x
    x = 847,683.06/971.74
  6. Step 6: Final answer
    x = 872.34

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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.