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Finding the Fourth Proportional to 1,266.06, 1,746.91 and 734.93

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Solution

The fourth proportional to 1,266.06, 1,746.91 and 734.93 is: 1,014.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,266.06 : 1,746.91 = 734.93 : x
  2. Step 2: Convert to fraction form
    1,266.06/1,746.91 = 734.93/x
  3. Step 3: Cross multiply
    1,266.06x = 1,746.91 × 734.93
  4. Step 4: Simplify right side
    1,266.06x = 1,283,856.57
  5. Step 5: Solve for x
    x = 1,283,856.57/1,266.06
  6. Step 6: Final answer
    x = 1,014.06

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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.