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Finding the Fourth Proportional to 1,162.08, 1,603.68 and 696.32

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Solution

The fourth proportional to 1,162.08, 1,603.68 and 696.32 is: 960.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.08 : 1,603.68 = 696.32 : x
  2. Step 2: Convert to fraction form
    1,162.08/1,603.68 = 696.32/x
  3. Step 3: Cross multiply
    1,162.08x = 1,603.68 × 696.32
  4. Step 4: Simplify right side
    1,162.08x = 1,116,674.46
  5. Step 5: Solve for x
    x = 1,116,674.46/1,162.08
  6. Step 6: Final answer
    x = 960.93

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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.