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Finding the Fourth Proportional to 1,291.19, 1,935.36 and 597.67

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Solution

The fourth proportional to 1,291.19, 1,935.36 and 597.67 is: 895.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,291.19 : 1,935.36 = 597.67 : x
  2. Step 2: Convert to fraction form
    1,291.19/1,935.36 = 597.67/x
  3. Step 3: Cross multiply
    1,291.19x = 1,935.36 × 597.67
  4. Step 4: Simplify right side
    1,291.19x = 1,156,701.77
  5. Step 5: Solve for x
    x = 1,156,701.77/1,291.19
  6. Step 6: Final answer
    x = 895.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.