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Finding the Fourth Proportional to 1,285.23, 1,928.07 and 463.59

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Solution

The fourth proportional to 1,285.23, 1,928.07 and 463.59 is: 695.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285.23 : 1,928.07 = 463.59 : x
  2. Step 2: Convert to fraction form
    1,285.23/1,928.07 = 463.59/x
  3. Step 3: Cross multiply
    1,285.23x = 1,928.07 × 463.59
  4. Step 4: Simplify right side
    1,285.23x = 893,833.97
  5. Step 5: Solve for x
    x = 893,833.97/1,285.23
  6. Step 6: Final answer
    x = 695.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.