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Finding the Fourth Proportional to 1,556.10, 2,333.97 and 460.35

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Solution

The fourth proportional to 1,556.10, 2,333.97 and 460.35 is: 690.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,556.10 : 2,333.97 = 460.35 : x
  2. Step 2: Convert to fraction form
    1,556.10/2,333.97 = 460.35/x
  3. Step 3: Cross multiply
    1,556.10x = 2,333.97 × 460.35
  4. Step 4: Simplify right side
    1,556.10x = 1,074,443.09
  5. Step 5: Solve for x
    x = 1,074,443.09/1,556.10
  6. Step 6: Final answer
    x = 690.47

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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.