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Finding the Fourth Proportional to 914.36, 1,260.59 and 765.17

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Solution

The fourth proportional to 914.36, 1,260.59 and 765.17 is: 1,054.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.36 : 1,260.59 = 765.17 : x
  2. Step 2: Convert to fraction form
    914.36/1,260.59 = 765.17/x
  3. Step 3: Cross multiply
    914.36x = 1,260.59 × 765.17
  4. Step 4: Simplify right side
    914.36x = 964,565.95
  5. Step 5: Solve for x
    x = 964,565.95/914.36
  6. Step 6: Final answer
    x = 1,054.90

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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.