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Finding the Fourth Proportional to 1,528.83, 2,293.47 and 604.55

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Solution

The fourth proportional to 1,528.83, 2,293.47 and 604.55 is: 906.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,528.83 : 2,293.47 = 604.55 : x
  2. Step 2: Convert to fraction form
    1,528.83/2,293.47 = 604.55/x
  3. Step 3: Cross multiply
    1,528.83x = 2,293.47 × 604.55
  4. Step 4: Simplify right side
    1,528.83x = 1,386,505.82
  5. Step 5: Solve for x
    x = 1,386,505.82/1,528.83
  6. Step 6: Final answer
    x = 906.91

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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.