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Finding the Fourth Proportional to 1,762.29, 2,643.57 and 463.75

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Solution

The fourth proportional to 1,762.29, 2,643.57 and 463.75 is: 695.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,762.29 : 2,643.57 = 463.75 : x
  2. Step 2: Convert to fraction form
    1,762.29/2,643.57 = 463.75/x
  3. Step 3: Cross multiply
    1,762.29x = 2,643.57 × 463.75
  4. Step 4: Simplify right side
    1,762.29x = 1,225,955.59
  5. Step 5: Solve for x
    x = 1,225,955.59/1,762.29
  6. Step 6: Final answer
    x = 695.66

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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.