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Finding the Fourth Proportional to 1,237.06, 1,854.54 and 543.20

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Solution

The fourth proportional to 1,237.06, 1,854.54 and 543.20 is: 814.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,237.06 : 1,854.54 = 543.20 : x
  2. Step 2: Convert to fraction form
    1,237.06/1,854.54 = 543.20/x
  3. Step 3: Cross multiply
    1,237.06x = 1,854.54 × 543.20
  4. Step 4: Simplify right side
    1,237.06x = 1,007,386.13
  5. Step 5: Solve for x
    x = 1,007,386.13/1,237.06
  6. Step 6: Final answer
    x = 814.34

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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.