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Finding the Fourth Proportional to 1,529.55, 2,293.97 and 707.02

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Solution

The fourth proportional to 1,529.55, 2,293.97 and 707.02 is: 1,060.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,529.55 : 2,293.97 = 707.02 : x
  2. Step 2: Convert to fraction form
    1,529.55/2,293.97 = 707.02/x
  3. Step 3: Cross multiply
    1,529.55x = 2,293.97 × 707.02
  4. Step 4: Simplify right side
    1,529.55x = 1,621,879.13
  5. Step 5: Solve for x
    x = 1,621,879.13/1,529.55
  6. Step 6: Final answer
    x = 1,060.37

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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.