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Finding the Fourth Proportional to 1,070.49, 1,613.03 and 952.63

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Solution

The fourth proportional to 1,070.49, 1,613.03 and 952.63 is: 1,435.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070.49 : 1,613.03 = 952.63 : x
  2. Step 2: Convert to fraction form
    1,070.49/1,613.03 = 952.63/x
  3. Step 3: Cross multiply
    1,070.49x = 1,613.03 × 952.63
  4. Step 4: Simplify right side
    1,070.49x = 1,536,620.77
  5. Step 5: Solve for x
    x = 1,536,620.77/1,070.49
  6. Step 6: Final answer
    x = 1,435.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.