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Finding the Fourth Proportional to 1,102.42, 1,653.54 and 322.36

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Solution

The fourth proportional to 1,102.42, 1,653.54 and 322.36 is: 483.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.42 : 1,653.54 = 322.36 : x
  2. Step 2: Convert to fraction form
    1,102.42/1,653.54 = 322.36/x
  3. Step 3: Cross multiply
    1,102.42x = 1,653.54 × 322.36
  4. Step 4: Simplify right side
    1,102.42x = 533,035.15
  5. Step 5: Solve for x
    x = 533,035.15/1,102.42
  6. Step 6: Final answer
    x = 483.51

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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.