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Finding the Fourth Proportional to 1,022.19, 1,410.16 and 602.41

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Solution

The fourth proportional to 1,022.19, 1,410.16 and 602.41 is: 831.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.19 : 1,410.16 = 602.41 : x
  2. Step 2: Convert to fraction form
    1,022.19/1,410.16 = 602.41/x
  3. Step 3: Cross multiply
    1,022.19x = 1,410.16 × 602.41
  4. Step 4: Simplify right side
    1,022.19x = 849,497.19
  5. Step 5: Solve for x
    x = 849,497.19/1,022.19
  6. Step 6: Final answer
    x = 831.05

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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.