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Finding the Fourth Proportional to 1,555.38, 2,333.06 and 459.77

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Solution

The fourth proportional to 1,555.38, 2,333.06 and 459.77 is: 689.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,555.38 : 2,333.06 = 459.77 : x
  2. Step 2: Convert to fraction form
    1,555.38/2,333.06 = 459.77/x
  3. Step 3: Cross multiply
    1,555.38x = 2,333.06 × 459.77
  4. Step 4: Simplify right side
    1,555.38x = 1,072,657.03
  5. Step 5: Solve for x
    x = 1,072,657.03/1,555.38
  6. Step 6: Final answer
    x = 689.64

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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.