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Finding the Fourth Proportional to 972.07, 1,341.29 and 574.07

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Solution

The fourth proportional to 972.07, 1,341.29 and 574.07 is: 792.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.07 : 1,341.29 = 574.07 : x
  2. Step 2: Convert to fraction form
    972.07/1,341.29 = 574.07/x
  3. Step 3: Cross multiply
    972.07x = 1,341.29 × 574.07
  4. Step 4: Simplify right side
    972.07x = 769,989.08
  5. Step 5: Solve for x
    x = 769,989.08/972.07
  6. Step 6: Final answer
    x = 792.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.