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Finding the Fourth Proportional to 711.93, 1,069.59 and 465.33

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Solution

The fourth proportional to 711.93, 1,069.59 and 465.33 is: 699.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.93 : 1,069.59 = 465.33 : x
  2. Step 2: Convert to fraction form
    711.93/1,069.59 = 465.33/x
  3. Step 3: Cross multiply
    711.93x = 1,069.59 × 465.33
  4. Step 4: Simplify right side
    711.93x = 497,712.31
  5. Step 5: Solve for x
    x = 497,712.31/711.93
  6. Step 6: Final answer
    x = 699.10

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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.