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Finding the Fourth Proportional to 707.10, 1,060.07 and 296.54

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Solution

The fourth proportional to 707.10, 1,060.07 and 296.54 is: 444.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.10 : 1,060.07 = 296.54 : x
  2. Step 2: Convert to fraction form
    707.10/1,060.07 = 296.54/x
  3. Step 3: Cross multiply
    707.10x = 1,060.07 × 296.54
  4. Step 4: Simplify right side
    707.10x = 314,346.37
  5. Step 5: Solve for x
    x = 314,346.37/707.10
  6. Step 6: Final answer
    x = 444.56

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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.