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Finding the Fourth Proportional to 977.07, 1,465.08 and 513.75

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Solution

The fourth proportional to 977.07, 1,465.08 and 513.75 is: 770.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.07 : 1,465.08 = 513.75 : x
  2. Step 2: Convert to fraction form
    977.07/1,465.08 = 513.75/x
  3. Step 3: Cross multiply
    977.07x = 1,465.08 × 513.75
  4. Step 4: Simplify right side
    977.07x = 752,684.85
  5. Step 5: Solve for x
    x = 752,684.85/977.07
  6. Step 6: Final answer
    x = 770.35

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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.