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Finding the Fourth Proportional to 1,240.58, 1,859.77 and 460.10

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Solution

The fourth proportional to 1,240.58, 1,859.77 and 460.10 is: 689.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,240.58 : 1,859.77 = 460.10 : x
  2. Step 2: Convert to fraction form
    1,240.58/1,859.77 = 460.10/x
  3. Step 3: Cross multiply
    1,240.58x = 1,859.77 × 460.10
  4. Step 4: Simplify right side
    1,240.58x = 855,680.18
  5. Step 5: Solve for x
    x = 855,680.18/1,240.58
  6. Step 6: Final answer
    x = 689.74

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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.