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Finding the Fourth Proportional to 1,466.48, 2,199.65 and 735.50

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Solution

The fourth proportional to 1,466.48, 2,199.65 and 735.50 is: 1,103.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,466.48 : 2,199.65 = 735.50 : x
  2. Step 2: Convert to fraction form
    1,466.48/2,199.65 = 735.50/x
  3. Step 3: Cross multiply
    1,466.48x = 2,199.65 × 735.50
  4. Step 4: Simplify right side
    1,466.48x = 1,617,827.90
  5. Step 5: Solve for x
    x = 1,617,827.90/1,466.48
  6. Step 6: Final answer
    x = 1,103.21

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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.