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Finding the Fourth Proportional to 929.85, 1,283.25 and 537.00

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Solution

The fourth proportional to 929.85, 1,283.25 and 537.00 is: 741.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.85 : 1,283.25 = 537.00 : x
  2. Step 2: Convert to fraction form
    929.85/1,283.25 = 537.00/x
  3. Step 3: Cross multiply
    929.85x = 1,283.25 × 537.00
  4. Step 4: Simplify right side
    929.85x = 689,105.77
  5. Step 5: Solve for x
    x = 689,105.77/929.85
  6. Step 6: Final answer
    x = 741.09

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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.