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Finding the Fourth Proportional to 1,556.16, 2,333.82 and 460.24

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Solution

The fourth proportional to 1,556.16, 2,333.82 and 460.24 is: 690.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,556.16 : 2,333.82 = 460.24 : x
  2. Step 2: Convert to fraction form
    1,556.16/2,333.82 = 460.24/x
  3. Step 3: Cross multiply
    1,556.16x = 2,333.82 × 460.24
  4. Step 4: Simplify right side
    1,556.16x = 1,074,117.32
  5. Step 5: Solve for x
    x = 1,074,117.32/1,556.16
  6. Step 6: Final answer
    x = 690.24

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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.