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Finding the Fourth Proportional to 783.73, 1,175.60 and 437.01

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Solution

The fourth proportional to 783.73, 1,175.60 and 437.01 is: 655.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.73 : 1,175.60 = 437.01 : x
  2. Step 2: Convert to fraction form
    783.73/1,175.60 = 437.01/x
  3. Step 3: Cross multiply
    783.73x = 1,175.60 × 437.01
  4. Step 4: Simplify right side
    783.73x = 513,748.96
  5. Step 5: Solve for x
    x = 513,748.96/783.73
  6. Step 6: Final answer
    x = 655.52

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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.