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Finding the Fourth Proportional to 842.34, 1,160.42 and 700

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Solution

The fourth proportional to 842.34, 1,160.42 and 700 is: 964.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.34 : 1,160.42 = 700 : x
  2. Step 2: Convert to fraction form
    842.34/1,160.42 = 700/x
  3. Step 3: Cross multiply
    842.34x = 1,160.42 × 700
  4. Step 4: Simplify right side
    842.34x = 812,294
  5. Step 5: Solve for x
    x = 812,294/842.34
  6. Step 6: Final answer
    x = 964.33

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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.