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Finding the Fourth Proportional to 1,707.06, 2,561 and 552.81

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Solution

The fourth proportional to 1,707.06, 2,561 and 552.81 is: 829.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,707.06 : 2,561 = 552.81 : x
  2. Step 2: Convert to fraction form
    1,707.06/2,561 = 552.81/x
  3. Step 3: Cross multiply
    1,707.06x = 2,561 × 552.81
  4. Step 4: Simplify right side
    1,707.06x = 1,415,752.81
  5. Step 5: Solve for x
    x = 1,415,752.81/1,707.06
  6. Step 6: Final answer
    x = 829.35

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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.