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Finding the Fourth Proportional to 1,705.66, 2,558.17 and 473.16

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Solution

The fourth proportional to 1,705.66, 2,558.17 and 473.16 is: 709.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,705.66 : 2,558.17 = 473.16 : x
  2. Step 2: Convert to fraction form
    1,705.66/2,558.17 = 473.16/x
  3. Step 3: Cross multiply
    1,705.66x = 2,558.17 × 473.16
  4. Step 4: Simplify right side
    1,705.66x = 1,210,423.72
  5. Step 5: Solve for x
    x = 1,210,423.72/1,705.66
  6. Step 6: Final answer
    x = 709.65

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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.