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Finding the Fourth Proportional to 1,552.03, 2,328.06 and 456.42

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Solution

The fourth proportional to 1,552.03, 2,328.06 and 456.42 is: 684.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,552.03 : 2,328.06 = 456.42 : x
  2. Step 2: Convert to fraction form
    1,552.03/2,328.06 = 456.42/x
  3. Step 3: Cross multiply
    1,552.03x = 2,328.06 × 456.42
  4. Step 4: Simplify right side
    1,552.03x = 1,062,561.50
  5. Step 5: Solve for x
    x = 1,062,561.50/1,552.03
  6. Step 6: Final answer
    x = 684.63

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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.