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Finding the Fourth Proportional to 779.90, 1,170.54 and 598.41

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Solution

The fourth proportional to 779.90, 1,170.54 and 598.41 is: 898.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.90 : 1,170.54 = 598.41 : x
  2. Step 2: Convert to fraction form
    779.90/1,170.54 = 598.41/x
  3. Step 3: Cross multiply
    779.90x = 1,170.54 × 598.41
  4. Step 4: Simplify right side
    779.90x = 700,462.84
  5. Step 5: Solve for x
    x = 700,462.84/779.90
  6. Step 6: Final answer
    x = 898.14

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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.