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Finding the Fourth Proportional to 1,263.52, 1,743.36 and 766.06

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Solution

The fourth proportional to 1,263.52, 1,743.36 and 766.06 is: 1,056.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,263.52 : 1,743.36 = 766.06 : x
  2. Step 2: Convert to fraction form
    1,263.52/1,743.36 = 766.06/x
  3. Step 3: Cross multiply
    1,263.52x = 1,743.36 × 766.06
  4. Step 4: Simplify right side
    1,263.52x = 1,335,514.00
  5. Step 5: Solve for x
    x = 1,335,514.00/1,263.52
  6. Step 6: Final answer
    x = 1,056.98

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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.