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Finding the Fourth Proportional to 1,035.02, 1,552.53 and 304.52

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Solution

The fourth proportional to 1,035.02, 1,552.53 and 304.52 is: 456.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.02 : 1,552.53 = 304.52 : x
  2. Step 2: Convert to fraction form
    1,035.02/1,552.53 = 304.52/x
  3. Step 3: Cross multiply
    1,035.02x = 1,552.53 × 304.52
  4. Step 4: Simplify right side
    1,035.02x = 472,776.44
  5. Step 5: Solve for x
    x = 472,776.44/1,035.02
  6. Step 6: Final answer
    x = 456.78

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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.