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Finding the Fourth Proportional to 1,015.84, 1,523.28 and 467.86

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Solution

The fourth proportional to 1,015.84, 1,523.28 and 467.86 is: 701.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015.84 : 1,523.28 = 467.86 : x
  2. Step 2: Convert to fraction form
    1,015.84/1,523.28 = 467.86/x
  3. Step 3: Cross multiply
    1,015.84x = 1,523.28 × 467.86
  4. Step 4: Simplify right side
    1,015.84x = 712,681.78
  5. Step 5: Solve for x
    x = 712,681.78/1,015.84
  6. Step 6: Final answer
    x = 701.57

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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.