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Finding the Fourth Proportional to 1,095.07, 1,511.23 and 597.72

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Solution

The fourth proportional to 1,095.07, 1,511.23 and 597.72 is: 824.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,095.07 : 1,511.23 = 597.72 : x
  2. Step 2: Convert to fraction form
    1,095.07/1,511.23 = 597.72/x
  3. Step 3: Cross multiply
    1,095.07x = 1,511.23 × 597.72
  4. Step 4: Simplify right side
    1,095.07x = 903,295.12
  5. Step 5: Solve for x
    x = 903,295.12/1,095.07
  6. Step 6: Final answer
    x = 824.87

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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.