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Finding the Fourth Proportional to 1,473.83, 2,210.29 and 780.37

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Solution

The fourth proportional to 1,473.83, 2,210.29 and 780.37 is: 1,170.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,473.83 : 2,210.29 = 780.37 : x
  2. Step 2: Convert to fraction form
    1,473.83/2,210.29 = 780.37/x
  3. Step 3: Cross multiply
    1,473.83x = 2,210.29 × 780.37
  4. Step 4: Simplify right side
    1,473.83x = 1,724,836.53
  5. Step 5: Solve for x
    x = 1,724,836.53/1,473.83
  6. Step 6: Final answer
    x = 1,170.31

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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.