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Finding the Fourth Proportional to 1,707.64, 2,561.42 and 733.08

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Solution

The fourth proportional to 1,707.64, 2,561.42 and 733.08 is: 1,099.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,707.64 : 2,561.42 = 733.08 : x
  2. Step 2: Convert to fraction form
    1,707.64/2,561.42 = 733.08/x
  3. Step 3: Cross multiply
    1,707.64x = 2,561.42 × 733.08
  4. Step 4: Simplify right side
    1,707.64x = 1,877,725.77
  5. Step 5: Solve for x
    x = 1,877,725.77/1,707.64
  6. Step 6: Final answer
    x = 1,099.60

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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.