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Finding the Fourth Proportional to 707.13, 974.13 and 575.91

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Solution

The fourth proportional to 707.13, 974.13 and 575.91 is: 793.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.13 : 974.13 = 575.91 : x
  2. Step 2: Convert to fraction form
    707.13/974.13 = 575.91/x
  3. Step 3: Cross multiply
    707.13x = 974.13 × 575.91
  4. Step 4: Simplify right side
    707.13x = 561,009.05
  5. Step 5: Solve for x
    x = 561,009.05/707.13
  6. Step 6: Final answer
    x = 793.36

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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.