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Finding the Fourth Proportional to 977.06, 1,465.82 and 283.75

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Solution

The fourth proportional to 977.06, 1,465.82 and 283.75 is: 425.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.06 : 1,465.82 = 283.75 : x
  2. Step 2: Convert to fraction form
    977.06/1,465.82 = 283.75/x
  3. Step 3: Cross multiply
    977.06x = 1,465.82 × 283.75
  4. Step 4: Simplify right side
    977.06x = 415,923.47
  5. Step 5: Solve for x
    x = 415,923.47/977.06
  6. Step 6: Final answer
    x = 425.69

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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.