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Finding the Fourth Proportional to 1,705.63, 2,556.06 and 717.40

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Solution

The fourth proportional to 1,705.63, 2,556.06 and 717.40 is: 1,075.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,705.63 : 2,556.06 = 717.40 : x
  2. Step 2: Convert to fraction form
    1,705.63/2,556.06 = 717.40/x
  3. Step 3: Cross multiply
    1,705.63x = 2,556.06 × 717.40
  4. Step 4: Simplify right side
    1,705.63x = 1,833,717.44
  5. Step 5: Solve for x
    x = 1,833,717.44/1,705.63
  6. Step 6: Final answer
    x = 1,075.10

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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.