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Finding the Fourth Proportional to 1,555.80, 2,333.93 and 460.17

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Solution

The fourth proportional to 1,555.80, 2,333.93 and 460.17 is: 690.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,555.80 : 2,333.93 = 460.17 : x
  2. Step 2: Convert to fraction form
    1,555.80/2,333.93 = 460.17/x
  3. Step 3: Cross multiply
    1,555.80x = 2,333.93 × 460.17
  4. Step 4: Simplify right side
    1,555.80x = 1,074,002.27
  5. Step 5: Solve for x
    x = 1,074,002.27/1,555.80
  6. Step 6: Final answer
    x = 690.32

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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.