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Finding the Fourth Proportional to 1,378.36, 1,902.15 and 788.93

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Solution

The fourth proportional to 1,378.36, 1,902.15 and 788.93 is: 1,088.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,378.36 : 1,902.15 = 788.93 : x
  2. Step 2: Convert to fraction form
    1,378.36/1,902.15 = 788.93/x
  3. Step 3: Cross multiply
    1,378.36x = 1,902.15 × 788.93
  4. Step 4: Simplify right side
    1,378.36x = 1,500,663.20
  5. Step 5: Solve for x
    x = 1,500,663.20/1,378.36
  6. Step 6: Final answer
    x = 1,088.73

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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.