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Finding the Fourth Proportional to 1,686.41, 2,530.75 and 590.78

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Solution

The fourth proportional to 1,686.41, 2,530.75 and 590.78 is: 886.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,686.41 : 2,530.75 = 590.78 : x
  2. Step 2: Convert to fraction form
    1,686.41/2,530.75 = 590.78/x
  3. Step 3: Cross multiply
    1,686.41x = 2,530.75 × 590.78
  4. Step 4: Simplify right side
    1,686.41x = 1,495,116.49
  5. Step 5: Solve for x
    x = 1,495,116.49/1,686.41
  6. Step 6: Final answer
    x = 886.57

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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.