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Finding the Fourth Proportional to 1,762.36, 2,643.29 and 463.83

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Solution

The fourth proportional to 1,762.36, 2,643.29 and 463.83 is: 695.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,762.36 : 2,643.29 = 463.83 : x
  2. Step 2: Convert to fraction form
    1,762.36/2,643.29 = 463.83/x
  3. Step 3: Cross multiply
    1,762.36x = 2,643.29 × 463.83
  4. Step 4: Simplify right side
    1,762.36x = 1,226,036.62
  5. Step 5: Solve for x
    x = 1,226,036.62/1,762.36
  6. Step 6: Final answer
    x = 695.68

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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.