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Finding the Fourth Proportional to 1,056.73, 1,584.93 and 508.76

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Solution

The fourth proportional to 1,056.73, 1,584.93 and 508.76 is: 763.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.73 : 1,584.93 = 508.76 : x
  2. Step 2: Convert to fraction form
    1,056.73/1,584.93 = 508.76/x
  3. Step 3: Cross multiply
    1,056.73x = 1,584.93 × 508.76
  4. Step 4: Simplify right side
    1,056.73x = 806,348.99
  5. Step 5: Solve for x
    x = 806,348.99/1,056.73
  6. Step 6: Final answer
    x = 763.06

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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.