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Finding the Fourth Proportional to 1,130.16, 1,695.38 and 399.59

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Solution

The fourth proportional to 1,130.16, 1,695.38 and 399.59 is: 599.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,130.16 : 1,695.38 = 399.59 : x
  2. Step 2: Convert to fraction form
    1,130.16/1,695.38 = 399.59/x
  3. Step 3: Cross multiply
    1,130.16x = 1,695.38 × 399.59
  4. Step 4: Simplify right side
    1,130.16x = 677,446.42
  5. Step 5: Solve for x
    x = 677,446.42/1,130.16
  6. Step 6: Final answer
    x = 599.43

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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.