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Finding the Fourth Proportional to 1,259.96, 1,734.72 and 1,094.11

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Solution

The fourth proportional to 1,259.96, 1,734.72 and 1,094.11 is: 1,506.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,259.96 : 1,734.72 = 1,094.11 : x
  2. Step 2: Convert to fraction form
    1,259.96/1,734.72 = 1,094.11/x
  3. Step 3: Cross multiply
    1,259.96x = 1,734.72 × 1,094.11
  4. Step 4: Simplify right side
    1,259.96x = 1,897,966.06
  5. Step 5: Solve for x
    x = 1,897,966.06/1,259.96
  6. Step 6: Final answer
    x = 1,506.38

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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.