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Finding the Fourth Proportional to 1,038.15, 1,432.29 and 706

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Solution

The fourth proportional to 1,038.15, 1,432.29 and 706 is: 974.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.15 : 1,432.29 = 706 : x
  2. Step 2: Convert to fraction form
    1,038.15/1,432.29 = 706/x
  3. Step 3: Cross multiply
    1,038.15x = 1,432.29 × 706
  4. Step 4: Simplify right side
    1,038.15x = 1,011,196.74
  5. Step 5: Solve for x
    x = 1,011,196.74/1,038.15
  6. Step 6: Final answer
    x = 974.04

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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.