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Finding the Fourth Proportional to 1,353.02, 2,030.52 and 623.10

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Solution

The fourth proportional to 1,353.02, 2,030.52 and 623.10 is: 935.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,353.02 : 2,030.52 = 623.10 : x
  2. Step 2: Convert to fraction form
    1,353.02/2,030.52 = 623.10/x
  3. Step 3: Cross multiply
    1,353.02x = 2,030.52 × 623.10
  4. Step 4: Simplify right side
    1,353.02x = 1,265,217.01
  5. Step 5: Solve for x
    x = 1,265,217.01/1,353.02
  6. Step 6: Final answer
    x = 935.11

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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.