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Finding the Fourth Proportional to 1,070.90, 1,606.28 and 377.63

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Solution

The fourth proportional to 1,070.90, 1,606.28 and 377.63 is: 566.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070.90 : 1,606.28 = 377.63 : x
  2. Step 2: Convert to fraction form
    1,070.90/1,606.28 = 377.63/x
  3. Step 3: Cross multiply
    1,070.90x = 1,606.28 × 377.63
  4. Step 4: Simplify right side
    1,070.90x = 606,575.62
  5. Step 5: Solve for x
    x = 606,575.62/1,070.90
  6. Step 6: Final answer
    x = 566.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.