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Finding the Fourth Proportional to 1,703.03, 2,552.72 and 716.38

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Solution

The fourth proportional to 1,703.03, 2,552.72 and 716.38 is: 1,073.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,703.03 : 2,552.72 = 716.38 : x
  2. Step 2: Convert to fraction form
    1,703.03/2,552.72 = 716.38/x
  3. Step 3: Cross multiply
    1,703.03x = 2,552.72 × 716.38
  4. Step 4: Simplify right side
    1,703.03x = 1,828,707.59
  5. Step 5: Solve for x
    x = 1,828,707.59/1,703.03
  6. Step 6: Final answer
    x = 1,073.80

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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.