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Finding the Fourth Proportional to 1,038.72, 1,433.28 and 596.64

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Solution

The fourth proportional to 1,038.72, 1,433.28 and 596.64 is: 823.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.72 : 1,433.28 = 596.64 : x
  2. Step 2: Convert to fraction form
    1,038.72/1,433.28 = 596.64/x
  3. Step 3: Cross multiply
    1,038.72x = 1,433.28 × 596.64
  4. Step 4: Simplify right side
    1,038.72x = 855,152.18
  5. Step 5: Solve for x
    x = 855,152.18/1,038.72
  6. Step 6: Final answer
    x = 823.27

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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.