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Finding the Fourth Proportional to 1,698.19, 2,546.53 and 587.71

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Solution

The fourth proportional to 1,698.19, 2,546.53 and 587.71 is: 881.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,698.19 : 2,546.53 = 587.71 : x
  2. Step 2: Convert to fraction form
    1,698.19/2,546.53 = 587.71/x
  3. Step 3: Cross multiply
    1,698.19x = 2,546.53 × 587.71
  4. Step 4: Simplify right side
    1,698.19x = 1,496,621.15
  5. Step 5: Solve for x
    x = 1,496,621.15/1,698.19
  6. Step 6: Final answer
    x = 881.30

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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.