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Finding the Fourth Proportional to 972.70, 1,459.06 and 511.40

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Solution

The fourth proportional to 972.70, 1,459.06 and 511.40 is: 767.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.70 : 1,459.06 = 511.40 : x
  2. Step 2: Convert to fraction form
    972.70/1,459.06 = 511.40/x
  3. Step 3: Cross multiply
    972.70x = 1,459.06 × 511.40
  4. Step 4: Simplify right side
    972.70x = 746,163.28
  5. Step 5: Solve for x
    x = 746,163.28/972.70
  6. Step 6: Final answer
    x = 767.11

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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.