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Finding the Fourth Proportional to 972.09, 1,458.54 and 510.18

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Solution

The fourth proportional to 972.09, 1,458.54 and 510.18 is: 765.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.09 : 1,458.54 = 510.18 : x
  2. Step 2: Convert to fraction form
    972.09/1,458.54 = 510.18/x
  3. Step 3: Cross multiply
    972.09x = 1,458.54 × 510.18
  4. Step 4: Simplify right side
    972.09x = 744,117.94
  5. Step 5: Solve for x
    x = 744,117.94/972.09
  6. Step 6: Final answer
    x = 765.48

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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.