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Finding the Fourth Proportional to 1,014.66, 1,400.63 and 748.64

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Solution

The fourth proportional to 1,014.66, 1,400.63 and 748.64 is: 1,033.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.66 : 1,400.63 = 748.64 : x
  2. Step 2: Convert to fraction form
    1,014.66/1,400.63 = 748.64/x
  3. Step 3: Cross multiply
    1,014.66x = 1,400.63 × 748.64
  4. Step 4: Simplify right side
    1,014.66x = 1,048,567.40
  5. Step 5: Solve for x
    x = 1,048,567.40/1,014.66
  6. Step 6: Final answer
    x = 1,033.42

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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.