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Finding the Fourth Proportional to 1,104.71, 1,656.72 and 364.19

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Solution

The fourth proportional to 1,104.71, 1,656.72 and 364.19 is: 546.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,104.71 : 1,656.72 = 364.19 : x
  2. Step 2: Convert to fraction form
    1,104.71/1,656.72 = 364.19/x
  3. Step 3: Cross multiply
    1,104.71x = 1,656.72 × 364.19
  4. Step 4: Simplify right side
    1,104.71x = 603,355.81
  5. Step 5: Solve for x
    x = 603,355.81/1,104.71
  6. Step 6: Final answer
    x = 546.16

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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.