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Finding the Fourth Proportional to 895.48, 1,340.73 and 586.54

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Solution

The fourth proportional to 895.48, 1,340.73 and 586.54 is: 878.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.48 : 1,340.73 = 586.54 : x
  2. Step 2: Convert to fraction form
    895.48/1,340.73 = 586.54/x
  3. Step 3: Cross multiply
    895.48x = 1,340.73 × 586.54
  4. Step 4: Simplify right side
    895.48x = 786,391.77
  5. Step 5: Solve for x
    x = 786,391.77/895.48
  6. Step 6: Final answer
    x = 878.18

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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.