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Finding the Fourth Proportional to 703.31, 1,052.53 and 578.42

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Solution

The fourth proportional to 703.31, 1,052.53 and 578.42 is: 865.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.31 : 1,052.53 = 578.42 : x
  2. Step 2: Convert to fraction form
    703.31/1,052.53 = 578.42/x
  3. Step 3: Cross multiply
    703.31x = 1,052.53 × 578.42
  4. Step 4: Simplify right side
    703.31x = 608,805.59
  5. Step 5: Solve for x
    x = 608,805.59/703.31
  6. Step 6: Final answer
    x = 865.63

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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.