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Finding the Fourth Proportional to 1,316.21, 1,816.36 and 726.78

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Solution

The fourth proportional to 1,316.21, 1,816.36 and 726.78 is: 1,002.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,316.21 : 1,816.36 = 726.78 : x
  2. Step 2: Convert to fraction form
    1,316.21/1,816.36 = 726.78/x
  3. Step 3: Cross multiply
    1,316.21x = 1,816.36 × 726.78
  4. Step 4: Simplify right side
    1,316.21x = 1,320,094.12
  5. Step 5: Solve for x
    x = 1,320,094.12/1,316.21
  6. Step 6: Final answer
    x = 1,002.95

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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.