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Finding the Fourth Proportional to 1,370.63, 2,056.53 and 908.57

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Solution

The fourth proportional to 1,370.63, 2,056.53 and 908.57 is: 1,363.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,370.63 : 2,056.53 = 908.57 : x
  2. Step 2: Convert to fraction form
    1,370.63/2,056.53 = 908.57/x
  3. Step 3: Cross multiply
    1,370.63x = 2,056.53 × 908.57
  4. Step 4: Simplify right side
    1,370.63x = 1,868,501.46
  5. Step 5: Solve for x
    x = 1,868,501.46/1,370.63
  6. Step 6: Final answer
    x = 1,363.24

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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.