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Finding the Fourth Proportional to 690.66, 953.78 and 591.84

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Solution

The fourth proportional to 690.66, 953.78 and 591.84 is: 817.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.66 : 953.78 = 591.84 : x
  2. Step 2: Convert to fraction form
    690.66/953.78 = 591.84/x
  3. Step 3: Cross multiply
    690.66x = 953.78 × 591.84
  4. Step 4: Simplify right side
    690.66x = 564,482.20
  5. Step 5: Solve for x
    x = 564,482.20/690.66
  6. Step 6: Final answer
    x = 817.31

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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.