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Finding the Fourth Proportional to 1,038.49, 1,432.63 and 684.31

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Solution

The fourth proportional to 1,038.49, 1,432.63 and 684.31 is: 944.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.49 : 1,432.63 = 684.31 : x
  2. Step 2: Convert to fraction form
    1,038.49/1,432.63 = 684.31/x
  3. Step 3: Cross multiply
    1,038.49x = 1,432.63 × 684.31
  4. Step 4: Simplify right side
    1,038.49x = 980,363.04
  5. Step 5: Solve for x
    x = 980,363.04/1,038.49
  6. Step 6: Final answer
    x = 944.03

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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.