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Finding the Fourth Proportional to 971.57, 1,456.84 and 508.23

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Solution

The fourth proportional to 971.57, 1,456.84 and 508.23 is: 762.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.57 : 1,456.84 = 508.23 : x
  2. Step 2: Convert to fraction form
    971.57/1,456.84 = 508.23/x
  3. Step 3: Cross multiply
    971.57x = 1,456.84 × 508.23
  4. Step 4: Simplify right side
    971.57x = 740,409.79
  5. Step 5: Solve for x
    x = 740,409.79/971.57
  6. Step 6: Final answer
    x = 762.08

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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.