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Finding the Fourth Proportional to 1,529.84, 2,294.39 and 707.69

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Solution

The fourth proportional to 1,529.84, 2,294.39 and 707.69 is: 1,061.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,529.84 : 2,294.39 = 707.69 : x
  2. Step 2: Convert to fraction form
    1,529.84/2,294.39 = 707.69/x
  3. Step 3: Cross multiply
    1,529.84x = 2,294.39 × 707.69
  4. Step 4: Simplify right side
    1,529.84x = 1,623,724.36
  5. Step 5: Solve for x
    x = 1,623,724.36/1,529.84
  6. Step 6: Final answer
    x = 1,061.37

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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.