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Finding the Fourth Proportional to 977.64, 1,465.72 and 514.84

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Solution

The fourth proportional to 977.64, 1,465.72 and 514.84 is: 771.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.64 : 1,465.72 = 514.84 : x
  2. Step 2: Convert to fraction form
    977.64/1,465.72 = 514.84/x
  3. Step 3: Cross multiply
    977.64x = 1,465.72 × 514.84
  4. Step 4: Simplify right side
    977.64x = 754,611.28
  5. Step 5: Solve for x
    x = 754,611.28/977.64
  6. Step 6: Final answer
    x = 771.87

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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.