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Finding the Fourth Proportional to 1,039.98, 1,435.59 and 647.55

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Solution

The fourth proportional to 1,039.98, 1,435.59 and 647.55 is: 893.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039.98 : 1,435.59 = 647.55 : x
  2. Step 2: Convert to fraction form
    1,039.98/1,435.59 = 647.55/x
  3. Step 3: Cross multiply
    1,039.98x = 1,435.59 × 647.55
  4. Step 4: Simplify right side
    1,039.98x = 929,616.30
  5. Step 5: Solve for x
    x = 929,616.30/1,039.98
  6. Step 6: Final answer
    x = 893.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.