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Finding the Fourth Proportional to 1,162.77, 1,735.10 and 1,059.27

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Solution

The fourth proportional to 1,162.77, 1,735.10 and 1,059.27 is: 1,580.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.77 : 1,735.10 = 1,059.27 : x
  2. Step 2: Convert to fraction form
    1,162.77/1,735.10 = 1,059.27/x
  3. Step 3: Cross multiply
    1,162.77x = 1,735.10 × 1,059.27
  4. Step 4: Simplify right side
    1,162.77x = 1,837,934.08
  5. Step 5: Solve for x
    x = 1,837,934.08/1,162.77
  6. Step 6: Final answer
    x = 1,580.65

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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.