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Finding the Fourth Proportional to 1,003.49, 1,384.74 and 555.35

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Solution

The fourth proportional to 1,003.49, 1,384.74 and 555.35 is: 766.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.49 : 1,384.74 = 555.35 : x
  2. Step 2: Convert to fraction form
    1,003.49/1,384.74 = 555.35/x
  3. Step 3: Cross multiply
    1,003.49x = 1,384.74 × 555.35
  4. Step 4: Simplify right side
    1,003.49x = 769,008.44
  5. Step 5: Solve for x
    x = 769,008.44/1,003.49
  6. Step 6: Final answer
    x = 766.34

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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.