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Finding the Fourth Proportional to 1,064.39, 1,595.36 and 414.57

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Solution

The fourth proportional to 1,064.39, 1,595.36 and 414.57 is: 621.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064.39 : 1,595.36 = 414.57 : x
  2. Step 2: Convert to fraction form
    1,064.39/1,595.36 = 414.57/x
  3. Step 3: Cross multiply
    1,064.39x = 1,595.36 × 414.57
  4. Step 4: Simplify right side
    1,064.39x = 661,386.32
  5. Step 5: Solve for x
    x = 661,386.32/1,064.39
  6. Step 6: Final answer
    x = 621.38

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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.