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Finding the Fourth Proportional to 1,259.29, 1,888.03 and 556.15

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Solution

The fourth proportional to 1,259.29, 1,888.03 and 556.15 is: 833.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,259.29 : 1,888.03 = 556.15 : x
  2. Step 2: Convert to fraction form
    1,259.29/1,888.03 = 556.15/x
  3. Step 3: Cross multiply
    1,259.29x = 1,888.03 × 556.15
  4. Step 4: Simplify right side
    1,259.29x = 1,050,015.66
  5. Step 5: Solve for x
    x = 1,050,015.66/1,259.29
  6. Step 6: Final answer
    x = 833.82

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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.