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Finding the Fourth Proportional to 709.96, 977.65 and 598.99

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Solution

The fourth proportional to 709.96, 977.65 and 598.99 is: 824.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.96 : 977.65 = 598.99 : x
  2. Step 2: Convert to fraction form
    709.96/977.65 = 598.99/x
  3. Step 3: Cross multiply
    709.96x = 977.65 × 598.99
  4. Step 4: Simplify right side
    709.96x = 585,602.57
  5. Step 5: Solve for x
    x = 585,602.57/709.96
  6. Step 6: Final answer
    x = 824.84

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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.