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Finding the Fourth Proportional to 895.07, 1,337.42 and 685.69

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Solution

The fourth proportional to 895.07, 1,337.42 and 685.69 is: 1,024.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.07 : 1,337.42 = 685.69 : x
  2. Step 2: Convert to fraction form
    895.07/1,337.42 = 685.69/x
  3. Step 3: Cross multiply
    895.07x = 1,337.42 × 685.69
  4. Step 4: Simplify right side
    895.07x = 917,053.89
  5. Step 5: Solve for x
    x = 917,053.89/895.07
  6. Step 6: Final answer
    x = 1,024.56

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.