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Finding the Fourth Proportional to 753.72, 1,130.94 and 651.64

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Solution

The fourth proportional to 753.72, 1,130.94 and 651.64 is: 977.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.72 : 1,130.94 = 651.64 : x
  2. Step 2: Convert to fraction form
    753.72/1,130.94 = 651.64/x
  3. Step 3: Cross multiply
    753.72x = 1,130.94 × 651.64
  4. Step 4: Simplify right side
    753.72x = 736,965.74
  5. Step 5: Solve for x
    x = 736,965.74/753.72
  6. Step 6: Final answer
    x = 977.77

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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.