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Finding the Fourth Proportional to 703.84, 972 and 483.34

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Solution

The fourth proportional to 703.84, 972 and 483.34 is: 667.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.84 : 972 = 483.34 : x
  2. Step 2: Convert to fraction form
    703.84/972 = 483.34/x
  3. Step 3: Cross multiply
    703.84x = 972 × 483.34
  4. Step 4: Simplify right side
    703.84x = 469,806.48
  5. Step 5: Solve for x
    x = 469,806.48/703.84
  6. Step 6: Final answer
    x = 667.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.