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Finding the Fourth Proportional to 655.10, 977.13 and 609.74

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Solution

The fourth proportional to 655.10, 977.13 and 609.74 is: 909.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.10 : 977.13 = 609.74 : x
  2. Step 2: Convert to fraction form
    655.10/977.13 = 609.74/x
  3. Step 3: Cross multiply
    655.10x = 977.13 × 609.74
  4. Step 4: Simplify right side
    655.10x = 595,795.25
  5. Step 5: Solve for x
    x = 595,795.25/655.10
  6. Step 6: Final answer
    x = 909.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.