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Finding the Fourth Proportional to 652.52, 972.18 and 637.94

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Solution

The fourth proportional to 652.52, 972.18 and 637.94 is: 950.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.52 : 972.18 = 637.94 : x
  2. Step 2: Convert to fraction form
    652.52/972.18 = 637.94/x
  3. Step 3: Cross multiply
    652.52x = 972.18 × 637.94
  4. Step 4: Simplify right side
    652.52x = 620,192.51
  5. Step 5: Solve for x
    x = 620,192.51/652.52
  6. Step 6: Final answer
    x = 950.46

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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.