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Finding the Fourth Proportional to 1,130.43, 1,695.02 and 553.31

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Solution

The fourth proportional to 1,130.43, 1,695.02 and 553.31 is: 829.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,130.43 : 1,695.02 = 553.31 : x
  2. Step 2: Convert to fraction form
    1,130.43/1,695.02 = 553.31/x
  3. Step 3: Cross multiply
    1,130.43x = 1,695.02 × 553.31
  4. Step 4: Simplify right side
    1,130.43x = 937,860.27
  5. Step 5: Solve for x
    x = 937,860.27/1,130.43
  6. Step 6: Final answer
    x = 829.65

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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.