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Finding the Fourth Proportional to 972.42, 1,458.09 and 510.42

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Solution

The fourth proportional to 972.42, 1,458.09 and 510.42 is: 765.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.42 : 1,458.09 = 510.42 : x
  2. Step 2: Convert to fraction form
    972.42/1,458.09 = 510.42/x
  3. Step 3: Cross multiply
    972.42x = 1,458.09 × 510.42
  4. Step 4: Simplify right side
    972.42x = 744,238.30
  5. Step 5: Solve for x
    x = 744,238.30/972.42
  6. Step 6: Final answer
    x = 765.35

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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.