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Finding the Fourth Proportional to 1,097.51, 1,514.52 and 600.14

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Solution

The fourth proportional to 1,097.51, 1,514.52 and 600.14 is: 828.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.51 : 1,514.52 = 600.14 : x
  2. Step 2: Convert to fraction form
    1,097.51/1,514.52 = 600.14/x
  3. Step 3: Cross multiply
    1,097.51x = 1,514.52 × 600.14
  4. Step 4: Simplify right side
    1,097.51x = 908,916.46
  5. Step 5: Solve for x
    x = 908,916.46/1,097.51
  6. Step 6: Final answer
    x = 828.17

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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.