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Finding the Fourth Proportional to 971.78, 1,458.66 and 485.18

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Solution

The fourth proportional to 971.78, 1,458.66 and 485.18 is: 728.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.78 : 1,458.66 = 485.18 : x
  2. Step 2: Convert to fraction form
    971.78/1,458.66 = 485.18/x
  3. Step 3: Cross multiply
    971.78x = 1,458.66 × 485.18
  4. Step 4: Simplify right side
    971.78x = 707,712.66
  5. Step 5: Solve for x
    x = 707,712.66/971.78
  6. Step 6: Final answer
    x = 728.26

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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.