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Finding the Fourth Proportional to 1,003.58, 1,385.07 and 561.65

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Solution

The fourth proportional to 1,003.58, 1,385.07 and 561.65 is: 775.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.58 : 1,385.07 = 561.65 : x
  2. Step 2: Convert to fraction form
    1,003.58/1,385.07 = 561.65/x
  3. Step 3: Cross multiply
    1,003.58x = 1,385.07 × 561.65
  4. Step 4: Simplify right side
    1,003.58x = 777,924.57
  5. Step 5: Solve for x
    x = 777,924.57/1,003.58
  6. Step 6: Final answer
    x = 775.15

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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.