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Finding the Fourth Proportional to 1,695.65, 2,543.10 and 463.16

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Solution

The fourth proportional to 1,695.65, 2,543.10 and 463.16 is: 694.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,695.65 : 2,543.10 = 463.16 : x
  2. Step 2: Convert to fraction form
    1,695.65/2,543.10 = 463.16/x
  3. Step 3: Cross multiply
    1,695.65x = 2,543.10 × 463.16
  4. Step 4: Simplify right side
    1,695.65x = 1,177,866.82
  5. Step 5: Solve for x
    x = 1,177,866.82/1,695.65
  6. Step 6: Final answer
    x = 694.64

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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.