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Finding the Fourth Proportional to 1,070.26, 1,605.63 and 421.06

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Solution

The fourth proportional to 1,070.26, 1,605.63 and 421.06 is: 631.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070.26 : 1,605.63 = 421.06 : x
  2. Step 2: Convert to fraction form
    1,070.26/1,605.63 = 421.06/x
  3. Step 3: Cross multiply
    1,070.26x = 1,605.63 × 421.06
  4. Step 4: Simplify right side
    1,070.26x = 676,066.57
  5. Step 5: Solve for x
    x = 676,066.57/1,070.26
  6. Step 6: Final answer
    x = 631.68

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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.