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Finding the Fourth Proportional to 1,097.48, 1,646.90 and 577.86

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Solution

The fourth proportional to 1,097.48, 1,646.90 and 577.86 is: 867.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.48 : 1,646.90 = 577.86 : x
  2. Step 2: Convert to fraction form
    1,097.48/1,646.90 = 577.86/x
  3. Step 3: Cross multiply
    1,097.48x = 1,646.90 × 577.86
  4. Step 4: Simplify right side
    1,097.48x = 951,674.74
  5. Step 5: Solve for x
    x = 951,674.74/1,097.48
  6. Step 6: Final answer
    x = 867.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.