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Finding the Fourth Proportional to 1,038.43, 1,434.85 and 830.32

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Solution

The fourth proportional to 1,038.43, 1,434.85 and 830.32 is: 1,147.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.43 : 1,434.85 = 830.32 : x
  2. Step 2: Convert to fraction form
    1,038.43/1,434.85 = 830.32/x
  3. Step 3: Cross multiply
    1,038.43x = 1,434.85 × 830.32
  4. Step 4: Simplify right side
    1,038.43x = 1,191,377.48
  5. Step 5: Solve for x
    x = 1,191,377.48/1,038.43
  6. Step 6: Final answer
    x = 1,147.29

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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.