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Finding the Fourth Proportional to 1,097.94, 1,514.64 and 649.50

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Solution

The fourth proportional to 1,097.94, 1,514.64 and 649.50 is: 896.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.94 : 1,514.64 = 649.50 : x
  2. Step 2: Convert to fraction form
    1,097.94/1,514.64 = 649.50/x
  3. Step 3: Cross multiply
    1,097.94x = 1,514.64 × 649.50
  4. Step 4: Simplify right side
    1,097.94x = 983,758.68
  5. Step 5: Solve for x
    x = 983,758.68/1,097.94
  6. Step 6: Final answer
    x = 896.00

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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.