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Finding the Fourth Proportional to 972.51, 1,459.19 and 510.18

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Solution

The fourth proportional to 972.51, 1,459.19 and 510.18 is: 765.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.51 : 1,459.19 = 510.18 : x
  2. Step 2: Convert to fraction form
    972.51/1,459.19 = 510.18/x
  3. Step 3: Cross multiply
    972.51x = 1,459.19 × 510.18
  4. Step 4: Simplify right side
    972.51x = 744,445.97
  5. Step 5: Solve for x
    x = 744,445.97/972.51
  6. Step 6: Final answer
    x = 765.49

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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.