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Finding the Fourth Proportional to 699.60, 963.93 and 533.52

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Solution

The fourth proportional to 699.60, 963.93 and 533.52 is: 735.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.60 : 963.93 = 533.52 : x
  2. Step 2: Convert to fraction form
    699.60/963.93 = 533.52/x
  3. Step 3: Cross multiply
    699.60x = 963.93 × 533.52
  4. Step 4: Simplify right side
    699.60x = 514,275.93
  5. Step 5: Solve for x
    x = 514,275.93/699.60
  6. Step 6: Final answer
    x = 735.10

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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.