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Finding the Fourth Proportional to 1,034.90, 1,551.45 and 623.60

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Solution

The fourth proportional to 1,034.90, 1,551.45 and 623.60 is: 934.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034.90 : 1,551.45 = 623.60 : x
  2. Step 2: Convert to fraction form
    1,034.90/1,551.45 = 623.60/x
  3. Step 3: Cross multiply
    1,034.90x = 1,551.45 × 623.60
  4. Step 4: Simplify right side
    1,034.90x = 967,484.22
  5. Step 5: Solve for x
    x = 967,484.22/1,034.90
  6. Step 6: Final answer
    x = 934.86

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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.