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Finding the Fourth Proportional to 1,762.56, 2,643.84 and 464.13

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Solution

The fourth proportional to 1,762.56, 2,643.84 and 464.13 is: 696.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,762.56 : 2,643.84 = 464.13 : x
  2. Step 2: Convert to fraction form
    1,762.56/2,643.84 = 464.13/x
  3. Step 3: Cross multiply
    1,762.56x = 2,643.84 × 464.13
  4. Step 4: Simplify right side
    1,762.56x = 1,227,085.46
  5. Step 5: Solve for x
    x = 1,227,085.46/1,762.56
  6. Step 6: Final answer
    x = 696.20

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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.