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Finding the Fourth Proportional to 1,038.90, 1,433.24 and 645.66

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Solution

The fourth proportional to 1,038.90, 1,433.24 and 645.66 is: 890.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.90 : 1,433.24 = 645.66 : x
  2. Step 2: Convert to fraction form
    1,038.90/1,433.24 = 645.66/x
  3. Step 3: Cross multiply
    1,038.90x = 1,433.24 × 645.66
  4. Step 4: Simplify right side
    1,038.90x = 925,385.74
  5. Step 5: Solve for x
    x = 925,385.74/1,038.90
  6. Step 6: Final answer
    x = 890.74

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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.