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Finding the Fourth Proportional to 1,038.71, 1,433.54 and 596.45

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Solution

The fourth proportional to 1,038.71, 1,433.54 and 596.45 is: 823.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.71 : 1,433.54 = 596.45 : x
  2. Step 2: Convert to fraction form
    1,038.71/1,433.54 = 596.45/x
  3. Step 3: Cross multiply
    1,038.71x = 1,433.54 × 596.45
  4. Step 4: Simplify right side
    1,038.71x = 855,034.93
  5. Step 5: Solve for x
    x = 855,034.93/1,038.71
  6. Step 6: Final answer
    x = 823.17

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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.