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Finding the Fourth Proportional to 1,705.86, 2,558.64 and 651.48

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Solution

The fourth proportional to 1,705.86, 2,558.64 and 651.48 is: 977.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,705.86 : 2,558.64 = 651.48 : x
  2. Step 2: Convert to fraction form
    1,705.86/2,558.64 = 651.48/x
  3. Step 3: Cross multiply
    1,705.86x = 2,558.64 × 651.48
  4. Step 4: Simplify right side
    1,705.86x = 1,666,902.79
  5. Step 5: Solve for x
    x = 1,666,902.79/1,705.86
  6. Step 6: Final answer
    x = 977.16

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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.