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Finding the Fourth Proportional to 1,022.63, 1,411.16 and 602.91

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Solution

The fourth proportional to 1,022.63, 1,411.16 and 602.91 is: 831.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.63 : 1,411.16 = 602.91 : x
  2. Step 2: Convert to fraction form
    1,022.63/1,411.16 = 602.91/x
  3. Step 3: Cross multiply
    1,022.63x = 1,411.16 × 602.91
  4. Step 4: Simplify right side
    1,022.63x = 850,799.46
  5. Step 5: Solve for x
    x = 850,799.46/1,022.63
  6. Step 6: Final answer
    x = 831.98

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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.