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Finding the Fourth Proportional to 1,111.16, 1,533.32 and 613.78

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Solution

The fourth proportional to 1,111.16, 1,533.32 and 613.78 is: 846.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,111.16 : 1,533.32 = 613.78 : x
  2. Step 2: Convert to fraction form
    1,111.16/1,533.32 = 613.78/x
  3. Step 3: Cross multiply
    1,111.16x = 1,533.32 × 613.78
  4. Step 4: Simplify right side
    1,111.16x = 941,127.33
  5. Step 5: Solve for x
    x = 941,127.33/1,111.16
  6. Step 6: Final answer
    x = 846.98

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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.