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Finding the Fourth Proportional to 1,316.05, 1,816.14 and 726.59

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Solution

The fourth proportional to 1,316.05, 1,816.14 and 726.59 is: 1,002.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,316.05 : 1,816.14 = 726.59 : x
  2. Step 2: Convert to fraction form
    1,316.05/1,816.14 = 726.59/x
  3. Step 3: Cross multiply
    1,316.05x = 1,816.14 × 726.59
  4. Step 4: Simplify right side
    1,316.05x = 1,319,589.16
  5. Step 5: Solve for x
    x = 1,319,589.16/1,316.05
  6. Step 6: Final answer
    x = 1,002.69

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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.