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Finding the Fourth Proportional to 977.52, 1,465.74 and 464.52

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Solution

The fourth proportional to 977.52, 1,465.74 and 464.52 is: 696.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.52 : 1,465.74 = 464.52 : x
  2. Step 2: Convert to fraction form
    977.52/1,465.74 = 464.52/x
  3. Step 3: Cross multiply
    977.52x = 1,465.74 × 464.52
  4. Step 4: Simplify right side
    977.52x = 680,865.54
  5. Step 5: Solve for x
    x = 680,865.54/977.52
  6. Step 6: Final answer
    x = 696.52

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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.