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Finding the Fourth Proportional to 1,111.18, 1,533.40 and 613.81

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Solution

The fourth proportional to 1,111.18, 1,533.40 and 613.81 is: 847.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,111.18 : 1,533.40 = 613.81 : x
  2. Step 2: Convert to fraction form
    1,111.18/1,533.40 = 613.81/x
  3. Step 3: Cross multiply
    1,111.18x = 1,533.40 × 613.81
  4. Step 4: Simplify right side
    1,111.18x = 941,218.55
  5. Step 5: Solve for x
    x = 941,218.55/1,111.18
  6. Step 6: Final answer
    x = 847.05

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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.