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Finding the Fourth Proportional to 1,079.95, 1,619.93 and 349.57

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Solution

The fourth proportional to 1,079.95, 1,619.93 and 349.57 is: 524.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,079.95 : 1,619.93 = 349.57 : x
  2. Step 2: Convert to fraction form
    1,079.95/1,619.93 = 349.57/x
  3. Step 3: Cross multiply
    1,079.95x = 1,619.93 × 349.57
  4. Step 4: Simplify right side
    1,079.95x = 566,278.93
  5. Step 5: Solve for x
    x = 566,278.93/1,079.95
  6. Step 6: Final answer
    x = 524.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.