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Finding the Fourth Proportional to 943.40, 1,415.10 and 924.20

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Solution

The fourth proportional to 943.40, 1,415.10 and 924.20 is: 1,386.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.40 : 1,415.10 = 924.20 : x
  2. Step 2: Convert to fraction form
    943.40/1,415.10 = 924.20/x
  3. Step 3: Cross multiply
    943.40x = 1,415.10 × 924.20
  4. Step 4: Simplify right side
    943.40x = 1,307,835.42
  5. Step 5: Solve for x
    x = 1,307,835.42/943.40
  6. Step 6: Final answer
    x = 1,386.30

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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.