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Finding the Fourth Proportional to 670.53, 1,010.37 and 551.46

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Solution

The fourth proportional to 670.53, 1,010.37 and 551.46 is: 830.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.53 : 1,010.37 = 551.46 : x
  2. Step 2: Convert to fraction form
    670.53/1,010.37 = 551.46/x
  3. Step 3: Cross multiply
    670.53x = 1,010.37 × 551.46
  4. Step 4: Simplify right side
    670.53x = 557,178.64
  5. Step 5: Solve for x
    x = 557,178.64/670.53
  6. Step 6: Final answer
    x = 830.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.