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Finding the Fourth Proportional to 1,530.43, 2,293.84 and 707.95

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Solution

The fourth proportional to 1,530.43, 2,293.84 and 707.95 is: 1,061.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,530.43 : 2,293.84 = 707.95 : x
  2. Step 2: Convert to fraction form
    1,530.43/2,293.84 = 707.95/x
  3. Step 3: Cross multiply
    1,530.43x = 2,293.84 × 707.95
  4. Step 4: Simplify right side
    1,530.43x = 1,623,924.03
  5. Step 5: Solve for x
    x = 1,623,924.03/1,530.43
  6. Step 6: Final answer
    x = 1,061.09

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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.