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Finding the Fourth Proportional to 1,349.83, 2,023.61 and 570.43

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Solution

The fourth proportional to 1,349.83, 2,023.61 and 570.43 is: 855.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,349.83 : 2,023.61 = 570.43 : x
  2. Step 2: Convert to fraction form
    1,349.83/2,023.61 = 570.43/x
  3. Step 3: Cross multiply
    1,349.83x = 2,023.61 × 570.43
  4. Step 4: Simplify right side
    1,349.83x = 1,154,317.73
  5. Step 5: Solve for x
    x = 1,154,317.73/1,349.83
  6. Step 6: Final answer
    x = 855.16

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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.