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Finding the Fourth Proportional to 1,111.85, 1,534.35 and 614.51

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Solution

The fourth proportional to 1,111.85, 1,534.35 and 614.51 is: 848.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,111.85 : 1,534.35 = 614.51 : x
  2. Step 2: Convert to fraction form
    1,111.85/1,534.35 = 614.51/x
  3. Step 3: Cross multiply
    1,111.85x = 1,534.35 × 614.51
  4. Step 4: Simplify right side
    1,111.85x = 942,873.42
  5. Step 5: Solve for x
    x = 942,873.42/1,111.85
  6. Step 6: Final answer
    x = 848.02

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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.