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Finding the Fourth Proportional to 1,477.37, 2,038.70 and 814.22

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Solution

The fourth proportional to 1,477.37, 2,038.70 and 814.22 is: 1,123.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,477.37 : 2,038.70 = 814.22 : x
  2. Step 2: Convert to fraction form
    1,477.37/2,038.70 = 814.22/x
  3. Step 3: Cross multiply
    1,477.37x = 2,038.70 × 814.22
  4. Step 4: Simplify right side
    1,477.37x = 1,659,940.12
  5. Step 5: Solve for x
    x = 1,659,940.12/1,477.37
  6. Step 6: Final answer
    x = 1,123.58

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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.