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Finding the Fourth Proportional to 873.72, 1,307.88 and 719.28

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Solution

The fourth proportional to 873.72, 1,307.88 and 719.28 is: 1,076.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.72 : 1,307.88 = 719.28 : x
  2. Step 2: Convert to fraction form
    873.72/1,307.88 = 719.28/x
  3. Step 3: Cross multiply
    873.72x = 1,307.88 × 719.28
  4. Step 4: Simplify right side
    873.72x = 940,731.93
  5. Step 5: Solve for x
    x = 940,731.93/873.72
  6. Step 6: Final answer
    x = 1,076.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.