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Finding the Fourth Proportional to 1,137.64, 1,707.23 and 407.21

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Solution

The fourth proportional to 1,137.64, 1,707.23 and 407.21 is: 611.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137.64 : 1,707.23 = 407.21 : x
  2. Step 2: Convert to fraction form
    1,137.64/1,707.23 = 407.21/x
  3. Step 3: Cross multiply
    1,137.64x = 1,707.23 × 407.21
  4. Step 4: Simplify right side
    1,137.64x = 695,208.13
  5. Step 5: Solve for x
    x = 695,208.13/1,137.64
  6. Step 6: Final answer
    x = 611.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.