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Finding the Fourth Proportional to 946.16, 1,418.98 and 598.98

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Solution

The fourth proportional to 946.16, 1,418.98 and 598.98 is: 898.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.16 : 1,418.98 = 598.98 : x
  2. Step 2: Convert to fraction form
    946.16/1,418.98 = 598.98/x
  3. Step 3: Cross multiply
    946.16x = 1,418.98 × 598.98
  4. Step 4: Simplify right side
    946.16x = 849,940.64
  5. Step 5: Solve for x
    x = 849,940.64/946.16
  6. Step 6: Final answer
    x = 898.31

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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.