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Finding the Fourth Proportional to 1,152.06, 1,728.09 and 421.63

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Solution

The fourth proportional to 1,152.06, 1,728.09 and 421.63 is: 632.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152.06 : 1,728.09 = 421.63 : x
  2. Step 2: Convert to fraction form
    1,152.06/1,728.09 = 421.63/x
  3. Step 3: Cross multiply
    1,152.06x = 1,728.09 × 421.63
  4. Step 4: Simplify right side
    1,152.06x = 728,614.59
  5. Step 5: Solve for x
    x = 728,614.59/1,152.06
  6. Step 6: Final answer
    x = 632.45

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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.