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Finding the Fourth Proportional to 707.90, 974.85 and 577.22

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Solution

The fourth proportional to 707.90, 974.85 and 577.22 is: 794.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.90 : 974.85 = 577.22 : x
  2. Step 2: Convert to fraction form
    707.90/974.85 = 577.22/x
  3. Step 3: Cross multiply
    707.90x = 974.85 × 577.22
  4. Step 4: Simplify right side
    707.90x = 562,702.92
  5. Step 5: Solve for x
    x = 562,702.92/707.90
  6. Step 6: Final answer
    x = 794.89

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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.