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Finding the Fourth Proportional to 1,038.14, 1,432.93 and 613.16

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Solution

The fourth proportional to 1,038.14, 1,432.93 and 613.16 is: 846.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.14 : 1,432.93 = 613.16 : x
  2. Step 2: Convert to fraction form
    1,038.14/1,432.93 = 613.16/x
  3. Step 3: Cross multiply
    1,038.14x = 1,432.93 × 613.16
  4. Step 4: Simplify right side
    1,038.14x = 878,615.36
  5. Step 5: Solve for x
    x = 878,615.36/1,038.14
  6. Step 6: Final answer
    x = 846.34

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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.