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Finding the Fourth Proportional to 1,093.83, 1,509.28 and 615.14

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Solution

The fourth proportional to 1,093.83, 1,509.28 and 615.14 is: 848.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,093.83 : 1,509.28 = 615.14 : x
  2. Step 2: Convert to fraction form
    1,093.83/1,509.28 = 615.14/x
  3. Step 3: Cross multiply
    1,093.83x = 1,509.28 × 615.14
  4. Step 4: Simplify right side
    1,093.83x = 928,427.02
  5. Step 5: Solve for x
    x = 928,427.02/1,093.83
  6. Step 6: Final answer
    x = 848.79

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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.