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Finding the Fourth Proportional to 934.85, 1,290.63 and 651.68

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Solution

The fourth proportional to 934.85, 1,290.63 and 651.68 is: 899.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.85 : 1,290.63 = 651.68 : x
  2. Step 2: Convert to fraction form
    934.85/1,290.63 = 651.68/x
  3. Step 3: Cross multiply
    934.85x = 1,290.63 × 651.68
  4. Step 4: Simplify right side
    934.85x = 841,074.50
  5. Step 5: Solve for x
    x = 841,074.50/934.85
  6. Step 6: Final answer
    x = 899.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.