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Finding the Fourth Proportional to 983.56, 1,475.34 and 598

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Solution

The fourth proportional to 983.56, 1,475.34 and 598 is: 897

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.56 : 1,475.34 = 598 : x
  2. Step 2: Convert to fraction form
    983.56/1,475.34 = 598/x
  3. Step 3: Cross multiply
    983.56x = 1,475.34 × 598
  4. Step 4: Simplify right side
    983.56x = 882,253.32
  5. Step 5: Solve for x
    x = 882,253.32/983.56
  6. Step 6: Final answer
    x = 897

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.