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Finding the Fourth Proportional to 1,011.84, 1,517.64 and 702.78

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Solution

The fourth proportional to 1,011.84, 1,517.64 and 702.78 is: 1,054.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,011.84 : 1,517.64 = 702.78 : x
  2. Step 2: Convert to fraction form
    1,011.84/1,517.64 = 702.78/x
  3. Step 3: Cross multiply
    1,011.84x = 1,517.64 × 702.78
  4. Step 4: Simplify right side
    1,011.84x = 1,066,567.04
  5. Step 5: Solve for x
    x = 1,066,567.04/1,011.84
  6. Step 6: Final answer
    x = 1,054.09

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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.