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Finding the Fourth Proportional to 1,022.77, 1,411.05 and 603.01

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Solution

The fourth proportional to 1,022.77, 1,411.05 and 603.01 is: 831.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.77 : 1,411.05 = 603.01 : x
  2. Step 2: Convert to fraction form
    1,022.77/1,411.05 = 603.01/x
  3. Step 3: Cross multiply
    1,022.77x = 1,411.05 × 603.01
  4. Step 4: Simplify right side
    1,022.77x = 850,877.26
  5. Step 5: Solve for x
    x = 850,877.26/1,022.77
  6. Step 6: Final answer
    x = 831.93

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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.