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Finding the Fourth Proportional to 795.24, 1,097.43 and 463.77

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Solution

The fourth proportional to 795.24, 1,097.43 and 463.77 is: 640.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.24 : 1,097.43 = 463.77 : x
  2. Step 2: Convert to fraction form
    795.24/1,097.43 = 463.77/x
  3. Step 3: Cross multiply
    795.24x = 1,097.43 × 463.77
  4. Step 4: Simplify right side
    795.24x = 508,955.11
  5. Step 5: Solve for x
    x = 508,955.11/795.24
  6. Step 6: Final answer
    x = 640.00

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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.