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Finding the Fourth Proportional to 1,606.64, 2,407.32 and 632.21

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Solution

The fourth proportional to 1,606.64, 2,407.32 and 632.21 is: 947.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,606.64 : 2,407.32 = 632.21 : x
  2. Step 2: Convert to fraction form
    1,606.64/2,407.32 = 632.21/x
  3. Step 3: Cross multiply
    1,606.64x = 2,407.32 × 632.21
  4. Step 4: Simplify right side
    1,606.64x = 1,521,919.74
  5. Step 5: Solve for x
    x = 1,521,919.74/1,606.64
  6. Step 6: Final answer
    x = 947.27

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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.