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Finding the Fourth Proportional to 655.40, 977.99 and 597.18

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Solution

The fourth proportional to 655.40, 977.99 and 597.18 is: 891.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.40 : 977.99 = 597.18 : x
  2. Step 2: Convert to fraction form
    655.40/977.99 = 597.18/x
  3. Step 3: Cross multiply
    655.40x = 977.99 × 597.18
  4. Step 4: Simplify right side
    655.40x = 584,040.01
  5. Step 5: Solve for x
    x = 584,040.01/655.40
  6. Step 6: Final answer
    x = 891.12

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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.