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Finding the Fourth Proportional to 1,315.77, 1,815.68 and 726.23

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Solution

The fourth proportional to 1,315.77, 1,815.68 and 726.23 is: 1,002.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.77 : 1,815.68 = 726.23 : x
  2. Step 2: Convert to fraction form
    1,315.77/1,815.68 = 726.23/x
  3. Step 3: Cross multiply
    1,315.77x = 1,815.68 × 726.23
  4. Step 4: Simplify right side
    1,315.77x = 1,318,592.21
  5. Step 5: Solve for x
    x = 1,318,592.21/1,315.77
  6. Step 6: Final answer
    x = 1,002.14

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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.