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Finding the Fourth Proportional to 1,035.16, 1,428.60 and 615.64

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Solution

The fourth proportional to 1,035.16, 1,428.60 and 615.64 is: 849.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.16 : 1,428.60 = 615.64 : x
  2. Step 2: Convert to fraction form
    1,035.16/1,428.60 = 615.64/x
  3. Step 3: Cross multiply
    1,035.16x = 1,428.60 × 615.64
  4. Step 4: Simplify right side
    1,035.16x = 879,503.30
  5. Step 5: Solve for x
    x = 879,503.30/1,035.16
  6. Step 6: Final answer
    x = 849.63

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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.