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Finding the Fourth Proportional to 703.01, 1,053.76 and 337.02

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Solution

The fourth proportional to 703.01, 1,053.76 and 337.02 is: 505.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.01 : 1,053.76 = 337.02 : x
  2. Step 2: Convert to fraction form
    703.01/1,053.76 = 337.02/x
  3. Step 3: Cross multiply
    703.01x = 1,053.76 × 337.02
  4. Step 4: Simplify right side
    703.01x = 355,138.20
  5. Step 5: Solve for x
    x = 355,138.20/703.01
  6. Step 6: Final answer
    x = 505.17

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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.