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Finding the Fourth Proportional to 1,730.65, 2,595.29 and 756.07

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Solution

The fourth proportional to 1,730.65, 2,595.29 and 756.07 is: 1,133.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,730.65 : 2,595.29 = 756.07 : x
  2. Step 2: Convert to fraction form
    1,730.65/2,595.29 = 756.07/x
  3. Step 3: Cross multiply
    1,730.65x = 2,595.29 × 756.07
  4. Step 4: Simplify right side
    1,730.65x = 1,962,204.15
  5. Step 5: Solve for x
    x = 1,962,204.15/1,730.65
  6. Step 6: Final answer
    x = 1,133.80

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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.