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Finding the Fourth Proportional to 1,104.59, 1,657.51 and 446.54

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Solution

The fourth proportional to 1,104.59, 1,657.51 and 446.54 is: 670.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,104.59 : 1,657.51 = 446.54 : x
  2. Step 2: Convert to fraction form
    1,104.59/1,657.51 = 446.54/x
  3. Step 3: Cross multiply
    1,104.59x = 1,657.51 × 446.54
  4. Step 4: Simplify right side
    1,104.59x = 740,135.11
  5. Step 5: Solve for x
    x = 740,135.11/1,104.59
  6. Step 6: Final answer
    x = 670.05

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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.