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Finding the Fourth Proportional to 1,143.40, 1,577.88 and 619.43

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Solution

The fourth proportional to 1,143.40, 1,577.88 and 619.43 is: 854.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143.40 : 1,577.88 = 619.43 : x
  2. Step 2: Convert to fraction form
    1,143.40/1,577.88 = 619.43/x
  3. Step 3: Cross multiply
    1,143.40x = 1,577.88 × 619.43
  4. Step 4: Simplify right side
    1,143.40x = 977,386.21
  5. Step 5: Solve for x
    x = 977,386.21/1,143.40
  6. Step 6: Final answer
    x = 854.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.