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Finding the Fourth Proportional to 1,477.47, 2,038.78 and 814.30

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Solution

The fourth proportional to 1,477.47, 2,038.78 and 814.30 is: 1,123.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,477.47 : 2,038.78 = 814.30 : x
  2. Step 2: Convert to fraction form
    1,477.47/2,038.78 = 814.30/x
  3. Step 3: Cross multiply
    1,477.47x = 2,038.78 × 814.30
  4. Step 4: Simplify right side
    1,477.47x = 1,660,174.47
  5. Step 5: Solve for x
    x = 1,660,174.47/1,477.47
  6. Step 6: Final answer
    x = 1,123.66

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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.