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Finding the Fourth Proportional to 599, 824.91 and 586.28

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Solution

The fourth proportional to 599, 824.91 and 586.28 is: 807.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    599 : 824.91 = 586.28 : x
  2. Step 2: Convert to fraction form
    599/824.91 = 586.28/x
  3. Step 3: Cross multiply
    599x = 824.91 × 586.28
  4. Step 4: Simplify right side
    599x = 483,628.23
  5. Step 5: Solve for x
    x = 483,628.23/599
  6. Step 6: Final answer
    x = 807.39

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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.