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Finding the Fourth Proportional to 1,070.36, 1,605.54 and 412.55

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Solution

The fourth proportional to 1,070.36, 1,605.54 and 412.55 is: 618.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070.36 : 1,605.54 = 412.55 : x
  2. Step 2: Convert to fraction form
    1,070.36/1,605.54 = 412.55/x
  3. Step 3: Cross multiply
    1,070.36x = 1,605.54 × 412.55
  4. Step 4: Simplify right side
    1,070.36x = 662,357.50
  5. Step 5: Solve for x
    x = 662,357.50/1,070.36
  6. Step 6: Final answer
    x = 618.82

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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.