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Finding the Fourth Proportional to 921.07, 1,270.98 and 522.76

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Solution

The fourth proportional to 921.07, 1,270.98 and 522.76 is: 721.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.07 : 1,270.98 = 522.76 : x
  2. Step 2: Convert to fraction form
    921.07/1,270.98 = 522.76/x
  3. Step 3: Cross multiply
    921.07x = 1,270.98 × 522.76
  4. Step 4: Simplify right side
    921.07x = 664,417.50
  5. Step 5: Solve for x
    x = 664,417.50/921.07
  6. Step 6: Final answer
    x = 721.35

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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.