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Finding the Fourth Proportional to 1,415, 1,952.70 and 794.20

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Solution

The fourth proportional to 1,415, 1,952.70 and 794.20 is: 1,096.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415 : 1,952.70 = 794.20 : x
  2. Step 2: Convert to fraction form
    1,415/1,952.70 = 794.20/x
  3. Step 3: Cross multiply
    1,415x = 1,952.70 × 794.20
  4. Step 4: Simplify right side
    1,415x = 1,550,834.34
  5. Step 5: Solve for x
    x = 1,550,834.34/1,415
  6. Step 6: Final answer
    x = 1,096.00

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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.