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Finding the Fourth Proportional to 1,035.19, 1,428.54 and 615.74

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Solution

The fourth proportional to 1,035.19, 1,428.54 and 615.74 is: 849.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.19 : 1,428.54 = 615.74 : x
  2. Step 2: Convert to fraction form
    1,035.19/1,428.54 = 615.74/x
  3. Step 3: Cross multiply
    1,035.19x = 1,428.54 × 615.74
  4. Step 4: Simplify right side
    1,035.19x = 879,609.22
  5. Step 5: Solve for x
    x = 879,609.22/1,035.19
  6. Step 6: Final answer
    x = 849.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.