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Finding the Fourth Proportional to 1,203.33, 1,801.88 and 1,031.10

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Solution

The fourth proportional to 1,203.33, 1,801.88 and 1,031.10 is: 1,543.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,203.33 : 1,801.88 = 1,031.10 : x
  2. Step 2: Convert to fraction form
    1,203.33/1,801.88 = 1,031.10/x
  3. Step 3: Cross multiply
    1,203.33x = 1,801.88 × 1,031.10
  4. Step 4: Simplify right side
    1,203.33x = 1,857,918.47
  5. Step 5: Solve for x
    x = 1,857,918.47/1,203.33
  6. Step 6: Final answer
    x = 1,543.98

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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.