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Finding the Fourth Proportional to 1,070.40, 1,605.14 and 411.88

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Solution

The fourth proportional to 1,070.40, 1,605.14 and 411.88 is: 617.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070.40 : 1,605.14 = 411.88 : x
  2. Step 2: Convert to fraction form
    1,070.40/1,605.14 = 411.88/x
  3. Step 3: Cross multiply
    1,070.40x = 1,605.14 × 411.88
  4. Step 4: Simplify right side
    1,070.40x = 661,125.06
  5. Step 5: Solve for x
    x = 661,125.06/1,070.40
  6. Step 6: Final answer
    x = 617.64

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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.