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Finding the Fourth Proportional to 1,022.51, 1,411.02 and 597.11

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Solution

The fourth proportional to 1,022.51, 1,411.02 and 597.11 is: 823.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.51 : 1,411.02 = 597.11 : x
  2. Step 2: Convert to fraction form
    1,022.51/1,411.02 = 597.11/x
  3. Step 3: Cross multiply
    1,022.51x = 1,411.02 × 597.11
  4. Step 4: Simplify right side
    1,022.51x = 842,527.10
  5. Step 5: Solve for x
    x = 842,527.10/1,022.51
  6. Step 6: Final answer
    x = 823.98

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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.