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Finding the Fourth Proportional to 1,529.03, 2,293.94 and 707.89

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Solution

The fourth proportional to 1,529.03, 2,293.94 and 707.89 is: 1,062.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,529.03 : 2,293.94 = 707.89 : x
  2. Step 2: Convert to fraction form
    1,529.03/2,293.94 = 707.89/x
  3. Step 3: Cross multiply
    1,529.03x = 2,293.94 × 707.89
  4. Step 4: Simplify right side
    1,529.03x = 1,623,853.54
  5. Step 5: Solve for x
    x = 1,623,853.54/1,529.03
  6. Step 6: Final answer
    x = 1,062.02

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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.