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Finding the Fourth Proportional to 709, 977.70 and 577.60

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Solution

The fourth proportional to 709, 977.70 and 577.60 is: 796.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    709 : 977.70 = 577.60 : x
  2. Step 2: Convert to fraction form
    709/977.70 = 577.60/x
  3. Step 3: Cross multiply
    709x = 977.70 × 577.60
  4. Step 4: Simplify right side
    709x = 564,719.52
  5. Step 5: Solve for x
    x = 564,719.52/709
  6. Step 6: Final answer
    x = 796.50

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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.