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Finding the Fourth Proportional to 1,477.85, 2,039.40 and 814.76

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Solution

The fourth proportional to 1,477.85, 2,039.40 and 814.76 is: 1,124.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,477.85 : 2,039.40 = 814.76 : x
  2. Step 2: Convert to fraction form
    1,477.85/2,039.40 = 814.76/x
  3. Step 3: Cross multiply
    1,477.85x = 2,039.40 × 814.76
  4. Step 4: Simplify right side
    1,477.85x = 1,661,621.54
  5. Step 5: Solve for x
    x = 1,661,621.54/1,477.85
  6. Step 6: Final answer
    x = 1,124.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.