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Finding the Fourth Proportional to 1,524.71, 2,284.02 and 701.86

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Solution

The fourth proportional to 1,524.71, 2,284.02 and 701.86 is: 1,051.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,524.71 : 2,284.02 = 701.86 : x
  2. Step 2: Convert to fraction form
    1,524.71/2,284.02 = 701.86/x
  3. Step 3: Cross multiply
    1,524.71x = 2,284.02 × 701.86
  4. Step 4: Simplify right side
    1,524.71x = 1,603,062.28
  5. Step 5: Solve for x
    x = 1,603,062.28/1,524.71
  6. Step 6: Final answer
    x = 1,051.39

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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.