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Finding the Fourth Proportional to 693.42, 1,040.24 and 346.77

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Solution

The fourth proportional to 693.42, 1,040.24 and 346.77 is: 520.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.42 : 1,040.24 = 346.77 : x
  2. Step 2: Convert to fraction form
    693.42/1,040.24 = 346.77/x
  3. Step 3: Cross multiply
    693.42x = 1,040.24 × 346.77
  4. Step 4: Simplify right side
    693.42x = 360,724.02
  5. Step 5: Solve for x
    x = 360,724.02/693.42
  6. Step 6: Final answer
    x = 520.21

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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.