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Finding the Fourth Proportional to 1,430.29, 2,144.20 and 553.41

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Solution

The fourth proportional to 1,430.29, 2,144.20 and 553.41 is: 829.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430.29 : 2,144.20 = 553.41 : x
  2. Step 2: Convert to fraction form
    1,430.29/2,144.20 = 553.41/x
  3. Step 3: Cross multiply
    1,430.29x = 2,144.20 × 553.41
  4. Step 4: Simplify right side
    1,430.29x = 1,186,621.72
  5. Step 5: Solve for x
    x = 1,186,621.72/1,430.29
  6. Step 6: Final answer
    x = 829.64

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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.