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Finding the Fourth Proportional to 1,089.57, 1,503.63 and 623.82

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Solution

The fourth proportional to 1,089.57, 1,503.63 and 623.82 is: 860.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.57 : 1,503.63 = 623.82 : x
  2. Step 2: Convert to fraction form
    1,089.57/1,503.63 = 623.82/x
  3. Step 3: Cross multiply
    1,089.57x = 1,503.63 × 623.82
  4. Step 4: Simplify right side
    1,089.57x = 937,994.47
  5. Step 5: Solve for x
    x = 937,994.47/1,089.57
  6. Step 6: Final answer
    x = 860.88

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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.