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Finding the Fourth Proportional to 1,070.78, 1,605.80 and 412.71

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Solution

The fourth proportional to 1,070.78, 1,605.80 and 412.71 is: 618.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070.78 : 1,605.80 = 412.71 : x
  2. Step 2: Convert to fraction form
    1,070.78/1,605.80 = 412.71/x
  3. Step 3: Cross multiply
    1,070.78x = 1,605.80 × 412.71
  4. Step 4: Simplify right side
    1,070.78x = 662,727.65
  5. Step 5: Solve for x
    x = 662,727.65/1,070.78
  6. Step 6: Final answer
    x = 618.92

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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.