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Finding the Fourth Proportional to 1,357.09, 2,035.23 and 707.47

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Solution

The fourth proportional to 1,357.09, 2,035.23 and 707.47 is: 1,060.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,357.09 : 2,035.23 = 707.47 : x
  2. Step 2: Convert to fraction form
    1,357.09/2,035.23 = 707.47/x
  3. Step 3: Cross multiply
    1,357.09x = 2,035.23 × 707.47
  4. Step 4: Simplify right side
    1,357.09x = 1,439,856.43
  5. Step 5: Solve for x
    x = 1,439,856.43/1,357.09
  6. Step 6: Final answer
    x = 1,060.99

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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.