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Finding the Fourth Proportional to 1,097.54, 1,514.64 and 705.09

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Solution

The fourth proportional to 1,097.54, 1,514.64 and 705.09 is: 973.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.54 : 1,514.64 = 705.09 : x
  2. Step 2: Convert to fraction form
    1,097.54/1,514.64 = 705.09/x
  3. Step 3: Cross multiply
    1,097.54x = 1,514.64 × 705.09
  4. Step 4: Simplify right side
    1,097.54x = 1,067,957.52
  5. Step 5: Solve for x
    x = 1,067,957.52/1,097.54
  6. Step 6: Final answer
    x = 973.05

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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.