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Finding the Fourth Proportional to 1,415.14, 1,952.88 and 794.14

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Solution

The fourth proportional to 1,415.14, 1,952.88 and 794.14 is: 1,095.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.14 : 1,952.88 = 794.14 : x
  2. Step 2: Convert to fraction form
    1,415.14/1,952.88 = 794.14/x
  3. Step 3: Cross multiply
    1,415.14x = 1,952.88 × 794.14
  4. Step 4: Simplify right side
    1,415.14x = 1,550,860.12
  5. Step 5: Solve for x
    x = 1,550,860.12/1,415.14
  6. Step 6: Final answer
    x = 1,095.91

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1.5x scale

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.