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Finding the Fourth Proportional to 786.05, 1,085.57 and 538.01

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Solution

The fourth proportional to 786.05, 1,085.57 and 538.01 is: 743.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.05 : 1,085.57 = 538.01 : x
  2. Step 2: Convert to fraction form
    786.05/1,085.57 = 538.01/x
  3. Step 3: Cross multiply
    786.05x = 1,085.57 × 538.01
  4. Step 4: Simplify right side
    786.05x = 584,047.52
  5. Step 5: Solve for x
    x = 584,047.52/786.05
  6. Step 6: Final answer
    x = 743.02

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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.