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Finding the Fourth Proportional to 1,258.26, 1,888.18 and 488.76

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Solution

The fourth proportional to 1,258.26, 1,888.18 and 488.76 is: 733.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,258.26 : 1,888.18 = 488.76 : x
  2. Step 2: Convert to fraction form
    1,258.26/1,888.18 = 488.76/x
  3. Step 3: Cross multiply
    1,258.26x = 1,888.18 × 488.76
  4. Step 4: Simplify right side
    1,258.26x = 922,866.86
  5. Step 5: Solve for x
    x = 922,866.86/1,258.26
  6. Step 6: Final answer
    x = 733.45

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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.