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Finding the Fourth Proportional to 1,143.32, 1,577.78 and 619.35

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Solution

The fourth proportional to 1,143.32, 1,577.78 and 619.35 is: 854.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143.32 : 1,577.78 = 619.35 : x
  2. Step 2: Convert to fraction form
    1,143.32/1,577.78 = 619.35/x
  3. Step 3: Cross multiply
    1,143.32x = 1,577.78 × 619.35
  4. Step 4: Simplify right side
    1,143.32x = 977,200.23
  5. Step 5: Solve for x
    x = 977,200.23/1,143.32
  6. Step 6: Final answer
    x = 854.70

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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.