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Finding the Fourth Proportional to 1,725.34, 2,587.06 and 800.39

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Solution

The fourth proportional to 1,725.34, 2,587.06 and 800.39 is: 1,200.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,725.34 : 2,587.06 = 800.39 : x
  2. Step 2: Convert to fraction form
    1,725.34/2,587.06 = 800.39/x
  3. Step 3: Cross multiply
    1,725.34x = 2,587.06 × 800.39
  4. Step 4: Simplify right side
    1,725.34x = 2,070,656.95
  5. Step 5: Solve for x
    x = 2,070,656.95/1,725.34
  6. Step 6: Final answer
    x = 1,200.14

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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.