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Finding the Fourth Proportional to 703.47, 1,055.21 and 461.53

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Solution

The fourth proportional to 703.47, 1,055.21 and 461.53 is: 692.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.47 : 1,055.21 = 461.53 : x
  2. Step 2: Convert to fraction form
    703.47/1,055.21 = 461.53/x
  3. Step 3: Cross multiply
    703.47x = 1,055.21 × 461.53
  4. Step 4: Simplify right side
    703.47x = 487,003.49
  5. Step 5: Solve for x
    x = 487,003.49/703.47
  6. Step 6: Final answer
    x = 692.29

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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.