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Finding the Fourth Proportional to 670.47, 1,004.64 and 487.01

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Solution

The fourth proportional to 670.47, 1,004.64 and 487.01 is: 729.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.47 : 1,004.64 = 487.01 : x
  2. Step 2: Convert to fraction form
    670.47/1,004.64 = 487.01/x
  3. Step 3: Cross multiply
    670.47x = 1,004.64 × 487.01
  4. Step 4: Simplify right side
    670.47x = 489,264.70
  5. Step 5: Solve for x
    x = 489,264.70/670.47
  6. Step 6: Final answer
    x = 729.73

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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.