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Finding the Fourth Proportional to 1,022.90, 1,411.18 and 712.58

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Solution

The fourth proportional to 1,022.90, 1,411.18 and 712.58 is: 983.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.90 : 1,411.18 = 712.58 : x
  2. Step 2: Convert to fraction form
    1,022.90/1,411.18 = 712.58/x
  3. Step 3: Cross multiply
    1,022.90x = 1,411.18 × 712.58
  4. Step 4: Simplify right side
    1,022.90x = 1,005,569.81
  5. Step 5: Solve for x
    x = 1,005,569.81/1,022.90
  6. Step 6: Final answer
    x = 983.06

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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.