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Finding the Fourth Proportional to 1,503.16, 2,074.44 and 830.96

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Solution

The fourth proportional to 1,503.16, 2,074.44 and 830.96 is: 1,146.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,503.16 : 2,074.44 = 830.96 : x
  2. Step 2: Convert to fraction form
    1,503.16/2,074.44 = 830.96/x
  3. Step 3: Cross multiply
    1,503.16x = 2,074.44 × 830.96
  4. Step 4: Simplify right side
    1,503.16x = 1,723,776.66
  5. Step 5: Solve for x
    x = 1,723,776.66/1,503.16
  6. Step 6: Final answer
    x = 1,146.77

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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.