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Finding the Fourth Proportional to 983.04, 1,356.24 and 609.64

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Solution

The fourth proportional to 983.04, 1,356.24 and 609.64 is: 841.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.04 : 1,356.24 = 609.64 : x
  2. Step 2: Convert to fraction form
    983.04/1,356.24 = 609.64/x
  3. Step 3: Cross multiply
    983.04x = 1,356.24 × 609.64
  4. Step 4: Simplify right side
    983.04x = 826,818.15
  5. Step 5: Solve for x
    x = 826,818.15/983.04
  6. Step 6: Final answer
    x = 841.08

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Why These Related Problems?

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