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Finding the Fourth Proportional to 703.53, 1,054.16 and 428.79

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Solution

The fourth proportional to 703.53, 1,054.16 and 428.79 is: 642.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.53 : 1,054.16 = 428.79 : x
  2. Step 2: Convert to fraction form
    703.53/1,054.16 = 428.79/x
  3. Step 3: Cross multiply
    703.53x = 1,054.16 × 428.79
  4. Step 4: Simplify right side
    703.53x = 452,011.12
  5. Step 5: Solve for x
    x = 452,011.12/703.53
  6. Step 6: Final answer
    x = 642.49

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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.