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Finding the Fourth Proportional to 707.93, 977.05 and 428.20

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Solution

The fourth proportional to 707.93, 977.05 and 428.20 is: 590.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.93 : 977.05 = 428.20 : x
  2. Step 2: Convert to fraction form
    707.93/977.05 = 428.20/x
  3. Step 3: Cross multiply
    707.93x = 977.05 × 428.20
  4. Step 4: Simplify right side
    707.93x = 418,367.92
  5. Step 5: Solve for x
    x = 418,367.92/707.93
  6. Step 6: Final answer
    x = 590.98

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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.