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Finding the Fourth Proportional to 753.83, 1,040.88 and 533.08

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Solution

The fourth proportional to 753.83, 1,040.88 and 533.08 is: 736.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.83 : 1,040.88 = 533.08 : x
  2. Step 2: Convert to fraction form
    753.83/1,040.88 = 533.08/x
  3. Step 3: Cross multiply
    753.83x = 1,040.88 × 533.08
  4. Step 4: Simplify right side
    753.83x = 554,871.11
  5. Step 5: Solve for x
    x = 554,871.11/753.83
  6. Step 6: Final answer
    x = 736.07

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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.