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Finding the Fourth Proportional to 1,070.97, 1,606.46 and 290.98

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Solution

The fourth proportional to 1,070.97, 1,606.46 and 290.98 is: 436.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070.97 : 1,606.46 = 290.98 : x
  2. Step 2: Convert to fraction form
    1,070.97/1,606.46 = 290.98/x
  3. Step 3: Cross multiply
    1,070.97x = 1,606.46 × 290.98
  4. Step 4: Simplify right side
    1,070.97x = 467,440.07
  5. Step 5: Solve for x
    x = 467,440.07/1,070.97
  6. Step 6: Final answer
    x = 436.46

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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.