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Finding the Fourth Proportional to 1,038.36, 1,432.00 and 801.95

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Solution

The fourth proportional to 1,038.36, 1,432.00 and 801.95 is: 1,105.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.36 : 1,432.00 = 801.95 : x
  2. Step 2: Convert to fraction form
    1,038.36/1,432.00 = 801.95/x
  3. Step 3: Cross multiply
    1,038.36x = 1,432.00 × 801.95
  4. Step 4: Simplify right side
    1,038.36x = 1,148,389.79
  5. Step 5: Solve for x
    x = 1,148,389.79/1,038.36
  6. Step 6: Final answer
    x = 1,105.97

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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.