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Finding the Fourth Proportional to 1,038.16, 1,432.11 and 618.21

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Solution

The fourth proportional to 1,038.16, 1,432.11 and 618.21 is: 852.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.16 : 1,432.11 = 618.21 : x
  2. Step 2: Convert to fraction form
    1,038.16/1,432.11 = 618.21/x
  3. Step 3: Cross multiply
    1,038.16x = 1,432.11 × 618.21
  4. Step 4: Simplify right side
    1,038.16x = 885,344.72
  5. Step 5: Solve for x
    x = 885,344.72/1,038.16
  6. Step 6: Final answer
    x = 852.80

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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.