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Finding the Fourth Proportional to 1,430.91, 2,142.71 and 698.57

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Solution

The fourth proportional to 1,430.91, 2,142.71 and 698.57 is: 1,046.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430.91 : 2,142.71 = 698.57 : x
  2. Step 2: Convert to fraction form
    1,430.91/2,142.71 = 698.57/x
  3. Step 3: Cross multiply
    1,430.91x = 2,142.71 × 698.57
  4. Step 4: Simplify right side
    1,430.91x = 1,496,822.21
  5. Step 5: Solve for x
    x = 1,496,822.21/1,430.91
  6. Step 6: Final answer
    x = 1,046.07

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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.