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Finding the Fourth Proportional to 1,678.77, 2,515.91 and 753.35

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Solution

The fourth proportional to 1,678.77, 2,515.91 and 753.35 is: 1,129.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,678.77 : 2,515.91 = 753.35 : x
  2. Step 2: Convert to fraction form
    1,678.77/2,515.91 = 753.35/x
  3. Step 3: Cross multiply
    1,678.77x = 2,515.91 × 753.35
  4. Step 4: Simplify right side
    1,678.77x = 1,895,344.45
  5. Step 5: Solve for x
    x = 1,895,344.45/1,678.77
  6. Step 6: Final answer
    x = 1,129.01

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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.