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Finding the Fourth Proportional to 1,091.64, 1,506.50 and 594.32

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Solution

The fourth proportional to 1,091.64, 1,506.50 and 594.32 is: 820.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.64 : 1,506.50 = 594.32 : x
  2. Step 2: Convert to fraction form
    1,091.64/1,506.50 = 594.32/x
  3. Step 3: Cross multiply
    1,091.64x = 1,506.50 × 594.32
  4. Step 4: Simplify right side
    1,091.64x = 895,343.28
  5. Step 5: Solve for x
    x = 895,343.28/1,091.64
  6. Step 6: Final answer
    x = 820.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.