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Finding the Fourth Proportional to 1,399.95, 2,098.98 and 522.45

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Solution

The fourth proportional to 1,399.95, 2,098.98 and 522.45 is: 783.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,399.95 : 2,098.98 = 522.45 : x
  2. Step 2: Convert to fraction form
    1,399.95/2,098.98 = 522.45/x
  3. Step 3: Cross multiply
    1,399.95x = 2,098.98 × 522.45
  4. Step 4: Simplify right side
    1,399.95x = 1,096,612.10
  5. Step 5: Solve for x
    x = 1,096,612.10/1,399.95
  6. Step 6: Final answer
    x = 783.32

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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.