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Finding the Fourth Proportional to 709.90, 977.16 and 616.06

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Solution

The fourth proportional to 709.90, 977.16 and 616.06 is: 847.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.90 : 977.16 = 616.06 : x
  2. Step 2: Convert to fraction form
    709.90/977.16 = 616.06/x
  3. Step 3: Cross multiply
    709.90x = 977.16 × 616.06
  4. Step 4: Simplify right side
    709.90x = 601,989.19
  5. Step 5: Solve for x
    x = 601,989.19/709.90
  6. Step 6: Final answer
    x = 847.99

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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.