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Finding the Fourth Proportional to 977.16, 1,465.78 and 283.82

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Solution

The fourth proportional to 977.16, 1,465.78 and 283.82 is: 425.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.16 : 1,465.78 = 283.82 : x
  2. Step 2: Convert to fraction form
    977.16/1,465.78 = 283.82/x
  3. Step 3: Cross multiply
    977.16x = 1,465.78 × 283.82
  4. Step 4: Simplify right side
    977.16x = 416,017.68
  5. Step 5: Solve for x
    x = 416,017.68/977.16
  6. Step 6: Final answer
    x = 425.74

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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.