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Finding the Fourth Proportional to 1,111.10, 1,533.33 and 613.72

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Solution

The fourth proportional to 1,111.10, 1,533.33 and 613.72 is: 846.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,111.10 : 1,533.33 = 613.72 : x
  2. Step 2: Convert to fraction form
    1,111.10/1,533.33 = 613.72/x
  3. Step 3: Cross multiply
    1,111.10x = 1,533.33 × 613.72
  4. Step 4: Simplify right side
    1,111.10x = 941,035.29
  5. Step 5: Solve for x
    x = 941,035.29/1,111.10
  6. Step 6: Final answer
    x = 846.94

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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.