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Finding the Fourth Proportional to 703.62, 1,054.76 and 505.80

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Solution

The fourth proportional to 703.62, 1,054.76 and 505.80 is: 758.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.62 : 1,054.76 = 505.80 : x
  2. Step 2: Convert to fraction form
    703.62/1,054.76 = 505.80/x
  3. Step 3: Cross multiply
    703.62x = 1,054.76 × 505.80
  4. Step 4: Simplify right side
    703.62x = 533,495.08
  5. Step 5: Solve for x
    x = 533,495.08/703.62
  6. Step 6: Final answer
    x = 758.21

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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.