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Finding the Fourth Proportional to 1,315.04, 1,814.97 and 783.95

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Solution

The fourth proportional to 1,315.04, 1,814.97 and 783.95 is: 1,081.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.04 : 1,814.97 = 783.95 : x
  2. Step 2: Convert to fraction form
    1,315.04/1,814.97 = 783.95/x
  3. Step 3: Cross multiply
    1,315.04x = 1,814.97 × 783.95
  4. Step 4: Simplify right side
    1,315.04x = 1,422,845.73
  5. Step 5: Solve for x
    x = 1,422,845.73/1,315.04
  6. Step 6: Final answer
    x = 1,081.98

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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.