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Finding the Fourth Proportional to 914.79, 1,370.75 and 707.06

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Solution

The fourth proportional to 914.79, 1,370.75 and 707.06 is: 1,059.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.79 : 1,370.75 = 707.06 : x
  2. Step 2: Convert to fraction form
    914.79/1,370.75 = 707.06/x
  3. Step 3: Cross multiply
    914.79x = 1,370.75 × 707.06
  4. Step 4: Simplify right side
    914.79x = 969,203.25
  5. Step 5: Solve for x
    x = 969,203.25/914.79
  6. Step 6: Final answer
    x = 1,059.48

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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.