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Finding the Fourth Proportional to 1,288.31, 1,930.84 and 557.08

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Solution

The fourth proportional to 1,288.31, 1,930.84 and 557.08 is: 834.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288.31 : 1,930.84 = 557.08 : x
  2. Step 2: Convert to fraction form
    1,288.31/1,930.84 = 557.08/x
  3. Step 3: Cross multiply
    1,288.31x = 1,930.84 × 557.08
  4. Step 4: Simplify right side
    1,288.31x = 1,075,626.13
  5. Step 5: Solve for x
    x = 1,075,626.13/1,288.31
  6. Step 6: Final answer
    x = 834.92

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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.