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Finding the Fourth Proportional to 749.84, 1,033.08 and 553.01

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Solution

The fourth proportional to 749.84, 1,033.08 and 553.01 is: 761.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.84 : 1,033.08 = 553.01 : x
  2. Step 2: Convert to fraction form
    749.84/1,033.08 = 553.01/x
  3. Step 3: Cross multiply
    749.84x = 1,033.08 × 553.01
  4. Step 4: Simplify right side
    749.84x = 571,298.41
  5. Step 5: Solve for x
    x = 571,298.41/749.84
  6. Step 6: Final answer
    x = 761.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.