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Finding the Fourth Proportional to 1,163.04, 1,736.10 and 1,010.08

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Solution

The fourth proportional to 1,163.04, 1,736.10 and 1,010.08 is: 1,507.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163.04 : 1,736.10 = 1,010.08 : x
  2. Step 2: Convert to fraction form
    1,163.04/1,736.10 = 1,010.08/x
  3. Step 3: Cross multiply
    1,163.04x = 1,736.10 × 1,010.08
  4. Step 4: Simplify right side
    1,163.04x = 1,753,599.89
  5. Step 5: Solve for x
    x = 1,753,599.89/1,163.04
  6. Step 6: Final answer
    x = 1,507.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.