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Finding the Fourth Proportional to 1,095.13, 1,511.32 and 597.80

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Solution

The fourth proportional to 1,095.13, 1,511.32 and 597.80 is: 824.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,095.13 : 1,511.32 = 597.80 : x
  2. Step 2: Convert to fraction form
    1,095.13/1,511.32 = 597.80/x
  3. Step 3: Cross multiply
    1,095.13x = 1,511.32 × 597.80
  4. Step 4: Simplify right side
    1,095.13x = 903,467.84
  5. Step 5: Solve for x
    x = 903,467.84/1,095.13
  6. Step 6: Final answer
    x = 824.98

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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.