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Finding the Fourth Proportional to 971.80, 1,458.60 and 485.20

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Solution

The fourth proportional to 971.80, 1,458.60 and 485.20 is: 728.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.80 : 1,458.60 = 485.20 : x
  2. Step 2: Convert to fraction form
    971.80/1,458.60 = 485.20/x
  3. Step 3: Cross multiply
    971.80x = 1,458.60 × 485.20
  4. Step 4: Simplify right side
    971.80x = 707,712.72
  5. Step 5: Solve for x
    x = 707,712.72/971.80
  6. Step 6: Final answer
    x = 728.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.