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Finding the Fourth Proportional to 1,035.39, 1,552.54 and 304.86

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Solution

The fourth proportional to 1,035.39, 1,552.54 and 304.86 is: 457.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.39 : 1,552.54 = 304.86 : x
  2. Step 2: Convert to fraction form
    1,035.39/1,552.54 = 304.86/x
  3. Step 3: Cross multiply
    1,035.39x = 1,552.54 × 304.86
  4. Step 4: Simplify right side
    1,035.39x = 473,306.58
  5. Step 5: Solve for x
    x = 473,306.58/1,035.39
  6. Step 6: Final answer
    x = 457.13

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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.