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Finding the Fourth Proportional to 1,097.36, 1,646.15 and 366.99

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Solution

The fourth proportional to 1,097.36, 1,646.15 and 366.99 is: 550.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.36 : 1,646.15 = 366.99 : x
  2. Step 2: Convert to fraction form
    1,097.36/1,646.15 = 366.99/x
  3. Step 3: Cross multiply
    1,097.36x = 1,646.15 × 366.99
  4. Step 4: Simplify right side
    1,097.36x = 604,118.75
  5. Step 5: Solve for x
    x = 604,118.75/1,097.36
  6. Step 6: Final answer
    x = 550.52

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Double scale
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1.5x scale

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.