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Finding the Fourth Proportional to 1,259.31, 1,888.08 and 556.17

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Solution

The fourth proportional to 1,259.31, 1,888.08 and 556.17 is: 833.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,259.31 : 1,888.08 = 556.17 : x
  2. Step 2: Convert to fraction form
    1,259.31/1,888.08 = 556.17/x
  3. Step 3: Cross multiply
    1,259.31x = 1,888.08 × 556.17
  4. Step 4: Simplify right side
    1,259.31x = 1,050,093.45
  5. Step 5: Solve for x
    x = 1,050,093.45/1,259.31
  6. Step 6: Final answer
    x = 833.86

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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.