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Finding the Fourth Proportional to 1,003.84, 1,384.86 and 630.25

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Solution

The fourth proportional to 1,003.84, 1,384.86 and 630.25 is: 869.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.84 : 1,384.86 = 630.25 : x
  2. Step 2: Convert to fraction form
    1,003.84/1,384.86 = 630.25/x
  3. Step 3: Cross multiply
    1,003.84x = 1,384.86 × 630.25
  4. Step 4: Simplify right side
    1,003.84x = 872,808.02
  5. Step 5: Solve for x
    x = 872,808.02/1,003.84
  6. Step 6: Final answer
    x = 869.47

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