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Finding the Fourth Proportional to 950.04, 1,424.07 and 462.48

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Solution

The fourth proportional to 950.04, 1,424.07 and 462.48 is: 693.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.04 : 1,424.07 = 462.48 : x
  2. Step 2: Convert to fraction form
    950.04/1,424.07 = 462.48/x
  3. Step 3: Cross multiply
    950.04x = 1,424.07 × 462.48
  4. Step 4: Simplify right side
    950.04x = 658,603.89
  5. Step 5: Solve for x
    x = 658,603.89/950.04
  6. Step 6: Final answer
    x = 693.24

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1.5x scale

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.