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Finding the Fourth Proportional to 921.64, 1,271.84 and 501.96

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Solution

The fourth proportional to 921.64, 1,271.84 and 501.96 is: 692.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.64 : 1,271.84 = 501.96 : x
  2. Step 2: Convert to fraction form
    921.64/1,271.84 = 501.96/x
  3. Step 3: Cross multiply
    921.64x = 1,271.84 × 501.96
  4. Step 4: Simplify right side
    921.64x = 638,412.81
  5. Step 5: Solve for x
    x = 638,412.81/921.64
  6. Step 6: Final answer
    x = 692.69

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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.