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Finding the Fourth Proportional to 1,070.63, 1,605.89 and 412.82

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Solution

The fourth proportional to 1,070.63, 1,605.89 and 412.82 is: 619.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070.63 : 1,605.89 = 412.82 : x
  2. Step 2: Convert to fraction form
    1,070.63/1,605.89 = 412.82/x
  3. Step 3: Cross multiply
    1,070.63x = 1,605.89 × 412.82
  4. Step 4: Simplify right side
    1,070.63x = 662,933.42
  5. Step 5: Solve for x
    x = 662,933.42/1,070.63
  6. Step 6: Final answer
    x = 619.20

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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.