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Finding the Fourth Proportional to 1,003.14, 1,384.34 and 583.74

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Solution

The fourth proportional to 1,003.14, 1,384.34 and 583.74 is: 805.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.14 : 1,384.34 = 583.74 : x
  2. Step 2: Convert to fraction form
    1,003.14/1,384.34 = 583.74/x
  3. Step 3: Cross multiply
    1,003.14x = 1,384.34 × 583.74
  4. Step 4: Simplify right side
    1,003.14x = 808,091.71
  5. Step 5: Solve for x
    x = 808,091.71/1,003.14
  6. Step 6: Final answer
    x = 805.56

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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.