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Finding the Fourth Proportional to 1,222.04, 1,685.88 and 697.88

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Solution

The fourth proportional to 1,222.04, 1,685.88 and 697.88 is: 962.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222.04 : 1,685.88 = 697.88 : x
  2. Step 2: Convert to fraction form
    1,222.04/1,685.88 = 697.88/x
  3. Step 3: Cross multiply
    1,222.04x = 1,685.88 × 697.88
  4. Step 4: Simplify right side
    1,222.04x = 1,176,541.93
  5. Step 5: Solve for x
    x = 1,176,541.93/1,222.04
  6. Step 6: Final answer
    x = 962.77

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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.