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Finding the Fourth Proportional to 1,069.93, 1,476.41 and 597.77

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Solution

The fourth proportional to 1,069.93, 1,476.41 and 597.77 is: 824.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069.93 : 1,476.41 = 597.77 : x
  2. Step 2: Convert to fraction form
    1,069.93/1,476.41 = 597.77/x
  3. Step 3: Cross multiply
    1,069.93x = 1,476.41 × 597.77
  4. Step 4: Simplify right side
    1,069.93x = 882,545.48
  5. Step 5: Solve for x
    x = 882,545.48/1,069.93
  6. Step 6: Final answer
    x = 824.86

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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.