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Finding the Fourth Proportional to 602.66, 829.88 and 589.02

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Solution

The fourth proportional to 602.66, 829.88 and 589.02 is: 811.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.66 : 829.88 = 589.02 : x
  2. Step 2: Convert to fraction form
    602.66/829.88 = 589.02/x
  3. Step 3: Cross multiply
    602.66x = 829.88 × 589.02
  4. Step 4: Simplify right side
    602.66x = 488,815.92
  5. Step 5: Solve for x
    x = 488,815.92/602.66
  6. Step 6: Final answer
    x = 811.10

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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.