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Finding the Fourth Proportional to 972.52, 1,340.52 and 692.20

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Solution

The fourth proportional to 972.52, 1,340.52 and 692.20 is: 954.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.52 : 1,340.52 = 692.20 : x
  2. Step 2: Convert to fraction form
    972.52/1,340.52 = 692.20/x
  3. Step 3: Cross multiply
    972.52x = 1,340.52 × 692.20
  4. Step 4: Simplify right side
    972.52x = 927,907.94
  5. Step 5: Solve for x
    x = 927,907.94/972.52
  6. Step 6: Final answer
    x = 954.13

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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.