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Finding the Fourth Proportional to 952.06, 1,428.80 and 404.62

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Solution

The fourth proportional to 952.06, 1,428.80 and 404.62 is: 607.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.06 : 1,428.80 = 404.62 : x
  2. Step 2: Convert to fraction form
    952.06/1,428.80 = 404.62/x
  3. Step 3: Cross multiply
    952.06x = 1,428.80 × 404.62
  4. Step 4: Simplify right side
    952.06x = 578,122.07
  5. Step 5: Solve for x
    x = 578,122.07/952.06
  6. Step 6: Final answer
    x = 607.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.