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Finding the Fourth Proportional to 1,323.50, 1,984.85 and 398.98

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Solution

The fourth proportional to 1,323.50, 1,984.85 and 398.98 is: 598.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,323.50 : 1,984.85 = 398.98 : x
  2. Step 2: Convert to fraction form
    1,323.50/1,984.85 = 398.98/x
  3. Step 3: Cross multiply
    1,323.50x = 1,984.85 × 398.98
  4. Step 4: Simplify right side
    1,323.50x = 791,915.45
  5. Step 5: Solve for x
    x = 791,915.45/1,323.50
  6. Step 6: Final answer
    x = 598.35

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1.5x scale

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.