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Finding the Fourth Proportional to 1,650.19, 2,473.58 and 554.18

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Solution

The fourth proportional to 1,650.19, 2,473.58 and 554.18 is: 830.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,650.19 : 2,473.58 = 554.18 : x
  2. Step 2: Convert to fraction form
    1,650.19/2,473.58 = 554.18/x
  3. Step 3: Cross multiply
    1,650.19x = 2,473.58 × 554.18
  4. Step 4: Simplify right side
    1,650.19x = 1,370,811.98
  5. Step 5: Solve for x
    x = 1,370,811.98/1,650.19
  6. Step 6: Final answer
    x = 830.70

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Why These Related Problems?

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