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Finding the Fourth Proportional to 600.07, 822.70 and 589.14

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Solution

The fourth proportional to 600.07, 822.70 and 589.14 is: 807.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.07 : 822.70 = 589.14 : x
  2. Step 2: Convert to fraction form
    600.07/822.70 = 589.14/x
  3. Step 3: Cross multiply
    600.07x = 822.70 × 589.14
  4. Step 4: Simplify right side
    600.07x = 484,678.42
  5. Step 5: Solve for x
    x = 484,678.42/600.07
  6. Step 6: Final answer
    x = 807.70

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.