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Finding the Fourth Proportional to 701.84, 1,057.51 and 582.77

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Solution

The fourth proportional to 701.84, 1,057.51 and 582.77 is: 878.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.84 : 1,057.51 = 582.77 : x
  2. Step 2: Convert to fraction form
    701.84/1,057.51 = 582.77/x
  3. Step 3: Cross multiply
    701.84x = 1,057.51 × 582.77
  4. Step 4: Simplify right side
    701.84x = 616,278.36
  5. Step 5: Solve for x
    x = 616,278.36/701.84
  6. Step 6: Final answer
    x = 878.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.