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Finding the Fourth Proportional to 1,432.74, 1,977.06 and 803.16

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Solution

The fourth proportional to 1,432.74, 1,977.06 and 803.16 is: 1,108.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,432.74 : 1,977.06 = 803.16 : x
  2. Step 2: Convert to fraction form
    1,432.74/1,977.06 = 803.16/x
  3. Step 3: Cross multiply
    1,432.74x = 1,977.06 × 803.16
  4. Step 4: Simplify right side
    1,432.74x = 1,587,895.51
  5. Step 5: Solve for x
    x = 1,587,895.51/1,432.74
  6. Step 6: Final answer
    x = 1,108.29

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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.