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Finding the Fourth Proportional to 972.90, 1,458.13 and 486.09

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Solution

The fourth proportional to 972.90, 1,458.13 and 486.09 is: 728.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.90 : 1,458.13 = 486.09 : x
  2. Step 2: Convert to fraction form
    972.90/1,458.13 = 486.09/x
  3. Step 3: Cross multiply
    972.90x = 1,458.13 × 486.09
  4. Step 4: Simplify right side
    972.90x = 708,782.41
  5. Step 5: Solve for x
    x = 708,782.41/972.90
  6. Step 6: Final answer
    x = 728.53

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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.