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Finding the Fourth Proportional to 1,315.74, 1,815.83 and 726.40

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Solution

The fourth proportional to 1,315.74, 1,815.83 and 726.40 is: 1,002.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.74 : 1,815.83 = 726.40 : x
  2. Step 2: Convert to fraction form
    1,315.74/1,815.83 = 726.40/x
  3. Step 3: Cross multiply
    1,315.74x = 1,815.83 × 726.40
  4. Step 4: Simplify right side
    1,315.74x = 1,319,018.91
  5. Step 5: Solve for x
    x = 1,319,018.91/1,315.74
  6. Step 6: Final answer
    x = 1,002.49

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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.