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Finding the Fourth Proportional to 1,159.63, 1,599.09 and 805.95

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Solution

The fourth proportional to 1,159.63, 1,599.09 and 805.95 is: 1,111.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.63 : 1,599.09 = 805.95 : x
  2. Step 2: Convert to fraction form
    1,159.63/1,599.09 = 805.95/x
  3. Step 3: Cross multiply
    1,159.63x = 1,599.09 × 805.95
  4. Step 4: Simplify right side
    1,159.63x = 1,288,786.59
  5. Step 5: Solve for x
    x = 1,288,786.59/1,159.63
  6. Step 6: Final answer
    x = 1,111.38

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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.