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Finding the Fourth Proportional to 720.07, 1,083.76 and 538.42

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Solution

The fourth proportional to 720.07, 1,083.76 and 538.42 is: 810.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.07 : 1,083.76 = 538.42 : x
  2. Step 2: Convert to fraction form
    720.07/1,083.76 = 538.42/x
  3. Step 3: Cross multiply
    720.07x = 1,083.76 × 538.42
  4. Step 4: Simplify right side
    720.07x = 583,518.06
  5. Step 5: Solve for x
    x = 583,518.06/720.07
  6. Step 6: Final answer
    x = 810.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.