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Finding the Fourth Proportional to 1,202.23, 1,803.66 and 462.16

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Solution

The fourth proportional to 1,202.23, 1,803.66 and 462.16 is: 693.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.23 : 1,803.66 = 462.16 : x
  2. Step 2: Convert to fraction form
    1,202.23/1,803.66 = 462.16/x
  3. Step 3: Cross multiply
    1,202.23x = 1,803.66 × 462.16
  4. Step 4: Simplify right side
    1,202.23x = 833,579.51
  5. Step 5: Solve for x
    x = 833,579.51/1,202.23
  6. Step 6: Final answer
    x = 693.36

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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.