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Finding the Fourth Proportional to 1,312.74, 1,807.20 and 1,137.96

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Solution

The fourth proportional to 1,312.74, 1,807.20 and 1,137.96 is: 1,566.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.74 : 1,807.20 = 1,137.96 : x
  2. Step 2: Convert to fraction form
    1,312.74/1,807.20 = 1,137.96/x
  3. Step 3: Cross multiply
    1,312.74x = 1,807.20 × 1,137.96
  4. Step 4: Simplify right side
    1,312.74x = 2,056,521.31
  5. Step 5: Solve for x
    x = 2,056,521.31/1,312.74
  6. Step 6: Final answer
    x = 1,566.59

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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.