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Finding the Fourth Proportional to 975.02, 1,462.02 and 487.46

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Solution

The fourth proportional to 975.02, 1,462.02 and 487.46 is: 730.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.02 : 1,462.02 = 487.46 : x
  2. Step 2: Convert to fraction form
    975.02/1,462.02 = 487.46/x
  3. Step 3: Cross multiply
    975.02x = 1,462.02 × 487.46
  4. Step 4: Simplify right side
    975.02x = 712,676.27
  5. Step 5: Solve for x
    x = 712,676.27/975.02
  6. Step 6: Final answer
    x = 730.94

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1.5x scale

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.