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Finding the Fourth Proportional to 1,070.33, 1,605.60 and 290.34

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Solution

The fourth proportional to 1,070.33, 1,605.60 and 290.34 is: 435.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070.33 : 1,605.60 = 290.34 : x
  2. Step 2: Convert to fraction form
    1,070.33/1,605.60 = 290.34/x
  3. Step 3: Cross multiply
    1,070.33x = 1,605.60 × 290.34
  4. Step 4: Simplify right side
    1,070.33x = 466,169.90
  5. Step 5: Solve for x
    x = 466,169.90/1,070.33
  6. Step 6: Final answer
    x = 435.54

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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.