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Finding the Fourth Proportional to 1,162.21, 1,603.93 and 638.24

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Solution

The fourth proportional to 1,162.21, 1,603.93 and 638.24 is: 880.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.21 : 1,603.93 = 638.24 : x
  2. Step 2: Convert to fraction form
    1,162.21/1,603.93 = 638.24/x
  3. Step 3: Cross multiply
    1,162.21x = 1,603.93 × 638.24
  4. Step 4: Simplify right side
    1,162.21x = 1,023,692.28
  5. Step 5: Solve for x
    x = 1,023,692.28/1,162.21
  6. Step 6: Final answer
    x = 880.82

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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.