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Finding the Fourth Proportional to 1,064.07, 1,595.97 and 414.36

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Solution

The fourth proportional to 1,064.07, 1,595.97 and 414.36 is: 621.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064.07 : 1,595.97 = 414.36 : x
  2. Step 2: Convert to fraction form
    1,064.07/1,595.97 = 414.36/x
  3. Step 3: Cross multiply
    1,064.07x = 1,595.97 × 414.36
  4. Step 4: Simplify right side
    1,064.07x = 661,306.13
  5. Step 5: Solve for x
    x = 661,306.13/1,064.07
  6. Step 6: Final answer
    x = 621.49

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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.