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Finding the Fourth Proportional to 1,312.96, 1,968.84 and 447.04

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Solution

The fourth proportional to 1,312.96, 1,968.84 and 447.04 is: 670.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.96 : 1,968.84 = 447.04 : x
  2. Step 2: Convert to fraction form
    1,312.96/1,968.84 = 447.04/x
  3. Step 3: Cross multiply
    1,312.96x = 1,968.84 × 447.04
  4. Step 4: Simplify right side
    1,312.96x = 880,150.23
  5. Step 5: Solve for x
    x = 880,150.23/1,312.96
  6. Step 6: Final answer
    x = 670.36

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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.