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Finding the Fourth Proportional to 1,013.81, 1,399.16 and 594.23

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Solution

The fourth proportional to 1,013.81, 1,399.16 and 594.23 is: 820.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.81 : 1,399.16 = 594.23 : x
  2. Step 2: Convert to fraction form
    1,013.81/1,399.16 = 594.23/x
  3. Step 3: Cross multiply
    1,013.81x = 1,399.16 × 594.23
  4. Step 4: Simplify right side
    1,013.81x = 831,417.34
  5. Step 5: Solve for x
    x = 831,417.34/1,013.81
  6. Step 6: Final answer
    x = 820.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.