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Finding the Fourth Proportional to 922.76, 1,384.86 and 598.04

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Solution

The fourth proportional to 922.76, 1,384.86 and 598.04 is: 897.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.76 : 1,384.86 = 598.04 : x
  2. Step 2: Convert to fraction form
    922.76/1,384.86 = 598.04/x
  3. Step 3: Cross multiply
    922.76x = 1,384.86 × 598.04
  4. Step 4: Simplify right side
    922.76x = 828,201.67
  5. Step 5: Solve for x
    x = 828,201.67/922.76
  6. Step 6: Final answer
    x = 897.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.