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Finding the Fourth Proportional to 1,356.69, 2,035.89 and 707.88

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Solution

The fourth proportional to 1,356.69, 2,035.89 and 707.88 is: 1,062.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,356.69 : 2,035.89 = 707.88 : x
  2. Step 2: Convert to fraction form
    1,356.69/2,035.89 = 707.88/x
  3. Step 3: Cross multiply
    1,356.69x = 2,035.89 × 707.88
  4. Step 4: Simplify right side
    1,356.69x = 1,441,165.81
  5. Step 5: Solve for x
    x = 1,441,165.81/1,356.69
  6. Step 6: Final answer
    x = 1,062.27

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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.