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Finding the Fourth Proportional to 775.02, 1,157.40 and 732.90

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Solution

The fourth proportional to 775.02, 1,157.40 and 732.90 is: 1,094.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.02 : 1,157.40 = 732.90 : x
  2. Step 2: Convert to fraction form
    775.02/1,157.40 = 732.90/x
  3. Step 3: Cross multiply
    775.02x = 1,157.40 × 732.90
  4. Step 4: Simplify right side
    775.02x = 848,258.46
  5. Step 5: Solve for x
    x = 848,258.46/775.02
  6. Step 6: Final answer
    x = 1,094.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.