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Finding the Fourth Proportional to 1,756.90, 2,635.95 and 783.67

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Solution

The fourth proportional to 1,756.90, 2,635.95 and 783.67 is: 1,175.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,756.90 : 2,635.95 = 783.67 : x
  2. Step 2: Convert to fraction form
    1,756.90/2,635.95 = 783.67/x
  3. Step 3: Cross multiply
    1,756.90x = 2,635.95 × 783.67
  4. Step 4: Simplify right side
    1,756.90x = 2,065,714.94
  5. Step 5: Solve for x
    x = 2,065,714.94/1,756.90
  6. Step 6: Final answer
    x = 1,175.77

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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.