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Finding the Fourth Proportional to 921.66, 1,271.88 and 507.66

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Solution

The fourth proportional to 921.66, 1,271.88 and 507.66 is: 700.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.66 : 1,271.88 = 507.66 : x
  2. Step 2: Convert to fraction form
    921.66/1,271.88 = 507.66/x
  3. Step 3: Cross multiply
    921.66x = 1,271.88 × 507.66
  4. Step 4: Simplify right side
    921.66x = 645,682.60
  5. Step 5: Solve for x
    x = 645,682.60/921.66
  6. Step 6: Final answer
    x = 700.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.