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Finding the Fourth Proportional to 1,686.09, 2,529.45 and 575.40

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Solution

The fourth proportional to 1,686.09, 2,529.45 and 575.40 is: 863.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,686.09 : 2,529.45 = 575.40 : x
  2. Step 2: Convert to fraction form
    1,686.09/2,529.45 = 575.40/x
  3. Step 3: Cross multiply
    1,686.09x = 2,529.45 × 575.40
  4. Step 4: Simplify right side
    1,686.09x = 1,455,445.53
  5. Step 5: Solve for x
    x = 1,455,445.53/1,686.09
  6. Step 6: Final answer
    x = 863.21

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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.