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Finding the Fourth Proportional to 972.68, 1,457.93 and 510.51

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Solution

The fourth proportional to 972.68, 1,457.93 and 510.51 is: 765.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.68 : 1,457.93 = 510.51 : x
  2. Step 2: Convert to fraction form
    972.68/1,457.93 = 510.51/x
  3. Step 3: Cross multiply
    972.68x = 1,457.93 × 510.51
  4. Step 4: Simplify right side
    972.68x = 744,286.39
  5. Step 5: Solve for x
    x = 744,286.39/972.68
  6. Step 6: Final answer
    x = 765.19

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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.