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Finding the Fourth Proportional to 972.07, 1,458.13 and 322.78

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Solution

The fourth proportional to 972.07, 1,458.13 and 322.78 is: 484.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.07 : 1,458.13 = 322.78 : x
  2. Step 2: Convert to fraction form
    972.07/1,458.13 = 322.78/x
  3. Step 3: Cross multiply
    972.07x = 1,458.13 × 322.78
  4. Step 4: Simplify right side
    972.07x = 470,655.20
  5. Step 5: Solve for x
    x = 470,655.20/972.07
  6. Step 6: Final answer
    x = 484.18

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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.