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Finding the Fourth Proportional to 1,069.80, 1,476.16 and 597.66

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Solution

The fourth proportional to 1,069.80, 1,476.16 and 597.66 is: 824.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069.80 : 1,476.16 = 597.66 : x
  2. Step 2: Convert to fraction form
    1,069.80/1,476.16 = 597.66/x
  3. Step 3: Cross multiply
    1,069.80x = 1,476.16 × 597.66
  4. Step 4: Simplify right side
    1,069.80x = 882,241.79
  5. Step 5: Solve for x
    x = 882,241.79/1,069.80
  6. Step 6: Final answer
    x = 824.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.