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Finding the Fourth Proportional to 1,096.26, 1,643.85 and 913.74

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Solution

The fourth proportional to 1,096.26, 1,643.85 and 913.74 is: 1,370.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.26 : 1,643.85 = 913.74 : x
  2. Step 2: Convert to fraction form
    1,096.26/1,643.85 = 913.74/x
  3. Step 3: Cross multiply
    1,096.26x = 1,643.85 × 913.74
  4. Step 4: Simplify right side
    1,096.26x = 1,502,051.50
  5. Step 5: Solve for x
    x = 1,502,051.50/1,096.26
  6. Step 6: Final answer
    x = 1,370.16

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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.