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Finding the Fourth Proportional to 711.41, 1,069.34 and 469.49

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Solution

The fourth proportional to 711.41, 1,069.34 and 469.49 is: 705.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.41 : 1,069.34 = 469.49 : x
  2. Step 2: Convert to fraction form
    711.41/1,069.34 = 469.49/x
  3. Step 3: Cross multiply
    711.41x = 1,069.34 × 469.49
  4. Step 4: Simplify right side
    711.41x = 502,036.74
  5. Step 5: Solve for x
    x = 502,036.74/711.41
  6. Step 6: Final answer
    x = 705.70

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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.