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Finding the Fourth Proportional to 786.56, 1,084.55 and 538.02

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Solution

The fourth proportional to 786.56, 1,084.55 and 538.02 is: 741.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.56 : 1,084.55 = 538.02 : x
  2. Step 2: Convert to fraction form
    786.56/1,084.55 = 538.02/x
  3. Step 3: Cross multiply
    786.56x = 1,084.55 × 538.02
  4. Step 4: Simplify right side
    786.56x = 583,506.90
  5. Step 5: Solve for x
    x = 583,506.90/786.56
  6. Step 6: Final answer
    x = 741.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.