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Finding the Fourth Proportional to 972.77, 1,459.40 and 510.41

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Solution

The fourth proportional to 972.77, 1,459.40 and 510.41 is: 765.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.77 : 1,459.40 = 510.41 : x
  2. Step 2: Convert to fraction form
    972.77/1,459.40 = 510.41/x
  3. Step 3: Cross multiply
    972.77x = 1,459.40 × 510.41
  4. Step 4: Simplify right side
    972.77x = 744,897.28
  5. Step 5: Solve for x
    x = 744,897.28/972.77
  6. Step 6: Final answer
    x = 765.75

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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.