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Finding the Fourth Proportional to 1,885.18, 2,828.04 and 586.78

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Solution

The fourth proportional to 1,885.18, 2,828.04 and 586.78 is: 880.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,885.18 : 2,828.04 = 586.78 : x
  2. Step 2: Convert to fraction form
    1,885.18/2,828.04 = 586.78/x
  3. Step 3: Cross multiply
    1,885.18x = 2,828.04 × 586.78
  4. Step 4: Simplify right side
    1,885.18x = 1,659,437.31
  5. Step 5: Solve for x
    x = 1,659,437.31/1,885.18
  6. Step 6: Final answer
    x = 880.25

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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.