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Finding the Fourth Proportional to 1,095.12, 1,511.28 and 597.80

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Solution

The fourth proportional to 1,095.12, 1,511.28 and 597.80 is: 824.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,095.12 : 1,511.28 = 597.80 : x
  2. Step 2: Convert to fraction form
    1,095.12/1,511.28 = 597.80/x
  3. Step 3: Cross multiply
    1,095.12x = 1,511.28 × 597.80
  4. Step 4: Simplify right side
    1,095.12x = 903,443.18
  5. Step 5: Solve for x
    x = 903,443.18/1,095.12
  6. Step 6: Final answer
    x = 824.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.