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Finding the Fourth Proportional to 709.08, 1,061.73 and 416.34

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Solution

The fourth proportional to 709.08, 1,061.73 and 416.34 is: 623.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.08 : 1,061.73 = 416.34 : x
  2. Step 2: Convert to fraction form
    709.08/1,061.73 = 416.34/x
  3. Step 3: Cross multiply
    709.08x = 1,061.73 × 416.34
  4. Step 4: Simplify right side
    709.08x = 442,040.67
  5. Step 5: Solve for x
    x = 442,040.67/709.08
  6. Step 6: Final answer
    x = 623.40

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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.