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Finding the Fourth Proportional to 1,045.83, 1,443.15 and 597.63

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Solution

The fourth proportional to 1,045.83, 1,443.15 and 597.63 is: 824.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045.83 : 1,443.15 = 597.63 : x
  2. Step 2: Convert to fraction form
    1,045.83/1,443.15 = 597.63/x
  3. Step 3: Cross multiply
    1,045.83x = 1,443.15 × 597.63
  4. Step 4: Simplify right side
    1,045.83x = 862,469.73
  5. Step 5: Solve for x
    x = 862,469.73/1,045.83
  6. Step 6: Final answer
    x = 824.67

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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.