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Finding the Fourth Proportional to 1,283.67, 1,924.14 and 543.13

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Solution

The fourth proportional to 1,283.67, 1,924.14 and 543.13 is: 814.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283.67 : 1,924.14 = 543.13 : x
  2. Step 2: Convert to fraction form
    1,283.67/1,924.14 = 543.13/x
  3. Step 3: Cross multiply
    1,283.67x = 1,924.14 × 543.13
  4. Step 4: Simplify right side
    1,283.67x = 1,045,058.16
  5. Step 5: Solve for x
    x = 1,045,058.16/1,283.67
  6. Step 6: Final answer
    x = 814.12

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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.