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Finding the Fourth Proportional to 921.46, 1,271.57 and 501.80

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Solution

The fourth proportional to 921.46, 1,271.57 and 501.80 is: 692.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.46 : 1,271.57 = 501.80 : x
  2. Step 2: Convert to fraction form
    921.46/1,271.57 = 501.80/x
  3. Step 3: Cross multiply
    921.46x = 1,271.57 × 501.80
  4. Step 4: Simplify right side
    921.46x = 638,069.19
  5. Step 5: Solve for x
    x = 638,069.19/921.46
  6. Step 6: Final answer
    x = 692.45

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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.