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Finding the Fourth Proportional to 971.76, 1,456.59 and 478.51

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Solution

The fourth proportional to 971.76, 1,456.59 and 478.51 is: 717.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.76 : 1,456.59 = 478.51 : x
  2. Step 2: Convert to fraction form
    971.76/1,456.59 = 478.51/x
  3. Step 3: Cross multiply
    971.76x = 1,456.59 × 478.51
  4. Step 4: Simplify right side
    971.76x = 696,989.24
  5. Step 5: Solve for x
    x = 696,989.24/971.76
  6. Step 6: Final answer
    x = 717.24

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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.