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Finding the Fourth Proportional to 1,512.02, 2,267.44 and 587.45

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Solution

The fourth proportional to 1,512.02, 2,267.44 and 587.45 is: 880.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,512.02 : 2,267.44 = 587.45 : x
  2. Step 2: Convert to fraction form
    1,512.02/2,267.44 = 587.45/x
  3. Step 3: Cross multiply
    1,512.02x = 2,267.44 × 587.45
  4. Step 4: Simplify right side
    1,512.02x = 1,332,017.81
  5. Step 5: Solve for x
    x = 1,332,017.81/1,512.02
  6. Step 6: Final answer
    x = 880.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.