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Finding the Fourth Proportional to 660.10, 988.39 and 577.07

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Solution

The fourth proportional to 660.10, 988.39 and 577.07 is: 864.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.10 : 988.39 = 577.07 : x
  2. Step 2: Convert to fraction form
    660.10/988.39 = 577.07/x
  3. Step 3: Cross multiply
    660.10x = 988.39 × 577.07
  4. Step 4: Simplify right side
    660.10x = 570,371.25
  5. Step 5: Solve for x
    x = 570,371.25/660.10
  6. Step 6: Final answer
    x = 864.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.