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Finding the Fourth Proportional to 711.36, 1,064.61 and 494.01

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Solution

The fourth proportional to 711.36, 1,064.61 and 494.01 is: 739.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.36 : 1,064.61 = 494.01 : x
  2. Step 2: Convert to fraction form
    711.36/1,064.61 = 494.01/x
  3. Step 3: Cross multiply
    711.36x = 1,064.61 × 494.01
  4. Step 4: Simplify right side
    711.36x = 525,927.99
  5. Step 5: Solve for x
    x = 525,927.99/711.36
  6. Step 6: Final answer
    x = 739.33

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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.