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Finding the Fourth Proportional to 983.04, 1,471.87 and 592.46

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Solution

The fourth proportional to 983.04, 1,471.87 and 592.46 is: 887.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.04 : 1,471.87 = 592.46 : x
  2. Step 2: Convert to fraction form
    983.04/1,471.87 = 592.46/x
  3. Step 3: Cross multiply
    983.04x = 1,471.87 × 592.46
  4. Step 4: Simplify right side
    983.04x = 872,031.28
  5. Step 5: Solve for x
    x = 872,031.28/983.04
  6. Step 6: Final answer
    x = 887.08

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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.