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Finding the Fourth Proportional to 1,259.16, 1,738.71 and 817.58

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Solution

The fourth proportional to 1,259.16, 1,738.71 and 817.58 is: 1,128.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,259.16 : 1,738.71 = 817.58 : x
  2. Step 2: Convert to fraction form
    1,259.16/1,738.71 = 817.58/x
  3. Step 3: Cross multiply
    1,259.16x = 1,738.71 × 817.58
  4. Step 4: Simplify right side
    1,259.16x = 1,421,525.83
  5. Step 5: Solve for x
    x = 1,421,525.83/1,259.16
  6. Step 6: Final answer
    x = 1,128.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.