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Finding the Fourth Proportional to 703.82, 1,056.47 and 575.30

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Solution

The fourth proportional to 703.82, 1,056.47 and 575.30 is: 863.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.82 : 1,056.47 = 575.30 : x
  2. Step 2: Convert to fraction form
    703.82/1,056.47 = 575.30/x
  3. Step 3: Cross multiply
    703.82x = 1,056.47 × 575.30
  4. Step 4: Simplify right side
    703.82x = 607,788.63
  5. Step 5: Solve for x
    x = 607,788.63/703.82
  6. Step 6: Final answer
    x = 863.56

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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.