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Finding the Fourth Proportional to 795.40, 1,097.32 and 500.16

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Solution

The fourth proportional to 795.40, 1,097.32 and 500.16 is: 690.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.40 : 1,097.32 = 500.16 : x
  2. Step 2: Convert to fraction form
    795.40/1,097.32 = 500.16/x
  3. Step 3: Cross multiply
    795.40x = 1,097.32 × 500.16
  4. Step 4: Simplify right side
    795.40x = 548,835.57
  5. Step 5: Solve for x
    x = 548,835.57/795.40
  6. Step 6: Final answer
    x = 690.01

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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.