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Finding the Fourth Proportional to 1,031.56, 1,423.56 and 589.46

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Solution

The fourth proportional to 1,031.56, 1,423.56 and 589.46 is: 813.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.56 : 1,423.56 = 589.46 : x
  2. Step 2: Convert to fraction form
    1,031.56/1,423.56 = 589.46/x
  3. Step 3: Cross multiply
    1,031.56x = 1,423.56 × 589.46
  4. Step 4: Simplify right side
    1,031.56x = 839,137.16
  5. Step 5: Solve for x
    x = 839,137.16/1,031.56
  6. Step 6: Final answer
    x = 813.46

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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.