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Finding the Fourth Proportional to 817.02, 1,127.10 and 467.50

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Solution

The fourth proportional to 817.02, 1,127.10 and 467.50 is: 644.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.02 : 1,127.10 = 467.50 : x
  2. Step 2: Convert to fraction form
    817.02/1,127.10 = 467.50/x
  3. Step 3: Cross multiply
    817.02x = 1,127.10 × 467.50
  4. Step 4: Simplify right side
    817.02x = 526,916.91
  5. Step 5: Solve for x
    x = 526,916.91/817.02
  6. Step 6: Final answer
    x = 644.93

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