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Finding the Fourth Proportional to 690.93, 952.83 and 533.32

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Solution

The fourth proportional to 690.93, 952.83 and 533.32 is: 735.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.93 : 952.83 = 533.32 : x
  2. Step 2: Convert to fraction form
    690.93/952.83 = 533.32/x
  3. Step 3: Cross multiply
    690.93x = 952.83 × 533.32
  4. Step 4: Simplify right side
    690.93x = 508,160.91
  5. Step 5: Solve for x
    x = 508,160.91/690.93
  6. Step 6: Final answer
    x = 735.47

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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.