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Finding the Fourth Proportional to 1,070.29, 1,476.45 and 697.89

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Solution

The fourth proportional to 1,070.29, 1,476.45 and 697.89 is: 962.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070.29 : 1,476.45 = 697.89 : x
  2. Step 2: Convert to fraction form
    1,070.29/1,476.45 = 697.89/x
  3. Step 3: Cross multiply
    1,070.29x = 1,476.45 × 697.89
  4. Step 4: Simplify right side
    1,070.29x = 1,030,399.69
  5. Step 5: Solve for x
    x = 1,030,399.69/1,070.29
  6. Step 6: Final answer
    x = 962.73

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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.