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Finding the Fourth Proportional to 1,762.06, 2,643.27 and 463.54

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Solution

The fourth proportional to 1,762.06, 2,643.27 and 463.54 is: 695.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,762.06 : 2,643.27 = 463.54 : x
  2. Step 2: Convert to fraction form
    1,762.06/2,643.27 = 463.54/x
  3. Step 3: Cross multiply
    1,762.06x = 2,643.27 × 463.54
  4. Step 4: Simplify right side
    1,762.06x = 1,225,261.38
  5. Step 5: Solve for x
    x = 1,225,261.38/1,762.06
  6. Step 6: Final answer
    x = 695.36

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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.