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Finding the Fourth Proportional to 972.04, 1,458.06 and 394.84

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Solution

The fourth proportional to 972.04, 1,458.06 and 394.84 is: 592.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.04 : 1,458.06 = 394.84 : x
  2. Step 2: Convert to fraction form
    972.04/1,458.06 = 394.84/x
  3. Step 3: Cross multiply
    972.04x = 1,458.06 × 394.84
  4. Step 4: Simplify right side
    972.04x = 575,700.41
  5. Step 5: Solve for x
    x = 575,700.41/972.04
  6. Step 6: Final answer
    x = 592.26

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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.