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Finding the Fourth Proportional to 1,020.99, 1,531.47 and 327.66

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Solution

The fourth proportional to 1,020.99, 1,531.47 and 327.66 is: 491.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.99 : 1,531.47 = 327.66 : x
  2. Step 2: Convert to fraction form
    1,020.99/1,531.47 = 327.66/x
  3. Step 3: Cross multiply
    1,020.99x = 1,531.47 × 327.66
  4. Step 4: Simplify right side
    1,020.99x = 501,792.16
  5. Step 5: Solve for x
    x = 501,792.16/1,020.99
  6. Step 6: Final answer
    x = 491.48

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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.