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Finding the Fourth Proportional to 652.04, 971.71 and 632.27

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Solution

The fourth proportional to 652.04, 971.71 and 632.27 is: 942.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.04 : 971.71 = 632.27 : x
  2. Step 2: Convert to fraction form
    652.04/971.71 = 632.27/x
  3. Step 3: Cross multiply
    652.04x = 971.71 × 632.27
  4. Step 4: Simplify right side
    652.04x = 614,383.93
  5. Step 5: Solve for x
    x = 614,383.93/652.04
  6. Step 6: Final answer
    x = 942.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.