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Finding the Fourth Proportional to 946.77, 1,420.16 and 398.67

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Solution

The fourth proportional to 946.77, 1,420.16 and 398.67 is: 598.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.77 : 1,420.16 = 398.67 : x
  2. Step 2: Convert to fraction form
    946.77/1,420.16 = 398.67/x
  3. Step 3: Cross multiply
    946.77x = 1,420.16 × 398.67
  4. Step 4: Simplify right side
    946.77x = 566,173.19
  5. Step 5: Solve for x
    x = 566,173.19/946.77
  6. Step 6: Final answer
    x = 598.01

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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.