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Finding the Fourth Proportional to 850.01, 1,273.93 and 465.53

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Solution

The fourth proportional to 850.01, 1,273.93 and 465.53 is: 697.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.01 : 1,273.93 = 465.53 : x
  2. Step 2: Convert to fraction form
    850.01/1,273.93 = 465.53/x
  3. Step 3: Cross multiply
    850.01x = 1,273.93 × 465.53
  4. Step 4: Simplify right side
    850.01x = 593,045.10
  5. Step 5: Solve for x
    x = 593,045.10/850.01
  6. Step 6: Final answer
    x = 697.70

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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.