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Finding the Fourth Proportional to 1,705.59, 2,558.84 and 718.49

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Solution

The fourth proportional to 1,705.59, 2,558.84 and 718.49 is: 1,077.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,705.59 : 2,558.84 = 718.49 : x
  2. Step 2: Convert to fraction form
    1,705.59/2,558.84 = 718.49/x
  3. Step 3: Cross multiply
    1,705.59x = 2,558.84 × 718.49
  4. Step 4: Simplify right side
    1,705.59x = 1,838,503.76
  5. Step 5: Solve for x
    x = 1,838,503.76/1,705.59
  6. Step 6: Final answer
    x = 1,077.93

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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.