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Finding the Fourth Proportional to 1,392.58, 2,088.72 and 698.68

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Solution

The fourth proportional to 1,392.58, 2,088.72 and 698.68 is: 1,047.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,392.58 : 2,088.72 = 698.68 : x
  2. Step 2: Convert to fraction form
    1,392.58/2,088.72 = 698.68/x
  3. Step 3: Cross multiply
    1,392.58x = 2,088.72 × 698.68
  4. Step 4: Simplify right side
    1,392.58x = 1,459,346.89
  5. Step 5: Solve for x
    x = 1,459,346.89/1,392.58
  6. Step 6: Final answer
    x = 1,047.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.