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Finding the Fourth Proportional to 1,218.16, 1,827.32 and 438.32

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Solution

The fourth proportional to 1,218.16, 1,827.32 and 438.32 is: 657.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218.16 : 1,827.32 = 438.32 : x
  2. Step 2: Convert to fraction form
    1,218.16/1,827.32 = 438.32/x
  3. Step 3: Cross multiply
    1,218.16x = 1,827.32 × 438.32
  4. Step 4: Simplify right side
    1,218.16x = 800,950.90
  5. Step 5: Solve for x
    x = 800,950.90/1,218.16
  6. Step 6: Final answer
    x = 657.51

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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.