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Finding the Fourth Proportional to 1,167.48, 1,746.36 and 890.46

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Solution

The fourth proportional to 1,167.48, 1,746.36 and 890.46 is: 1,331.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,167.48 : 1,746.36 = 890.46 : x
  2. Step 2: Convert to fraction form
    1,167.48/1,746.36 = 890.46/x
  3. Step 3: Cross multiply
    1,167.48x = 1,746.36 × 890.46
  4. Step 4: Simplify right side
    1,167.48x = 1,555,063.73
  5. Step 5: Solve for x
    x = 1,555,063.73/1,167.48
  6. Step 6: Final answer
    x = 1,331.98

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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.