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Finding the Fourth Proportional to 601.07, 824.07 and 590.14

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Solution

The fourth proportional to 601.07, 824.07 and 590.14 is: 809.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.07 : 824.07 = 590.14 : x
  2. Step 2: Convert to fraction form
    601.07/824.07 = 590.14/x
  3. Step 3: Cross multiply
    601.07x = 824.07 × 590.14
  4. Step 4: Simplify right side
    601.07x = 486,316.67
  5. Step 5: Solve for x
    x = 486,316.67/601.07
  6. Step 6: Final answer
    x = 809.08

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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.