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Finding the Fourth Proportional to 984.89, 1,477.12 and 632.44

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Solution

The fourth proportional to 984.89, 1,477.12 and 632.44 is: 948.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.89 : 1,477.12 = 632.44 : x
  2. Step 2: Convert to fraction form
    984.89/1,477.12 = 632.44/x
  3. Step 3: Cross multiply
    984.89x = 1,477.12 × 632.44
  4. Step 4: Simplify right side
    984.89x = 934,184.69
  5. Step 5: Solve for x
    x = 934,184.69/984.89
  6. Step 6: Final answer
    x = 948.52

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Double scale
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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.