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Finding the Fourth Proportional to 673.77, 1,008.59 and 491.12

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Solution

The fourth proportional to 673.77, 1,008.59 and 491.12 is: 735.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.77 : 1,008.59 = 491.12 : x
  2. Step 2: Convert to fraction form
    673.77/1,008.59 = 491.12/x
  3. Step 3: Cross multiply
    673.77x = 1,008.59 × 491.12
  4. Step 4: Simplify right side
    673.77x = 495,331.22
  5. Step 5: Solve for x
    x = 495,331.22/673.77
  6. Step 6: Final answer
    x = 735.16

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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.