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Finding the Fourth Proportional to 921.54, 1,271.76 and 507.54

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Solution

The fourth proportional to 921.54, 1,271.76 and 507.54 is: 700.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.54 : 1,271.76 = 507.54 : x
  2. Step 2: Convert to fraction form
    921.54/1,271.76 = 507.54/x
  3. Step 3: Cross multiply
    921.54x = 1,271.76 × 507.54
  4. Step 4: Simplify right side
    921.54x = 645,469.07
  5. Step 5: Solve for x
    x = 645,469.07/921.54
  6. Step 6: Final answer
    x = 700.42

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1.5x scale

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.