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Finding the Fourth Proportional to 854.40, 1,178.56 and 592

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Solution

The fourth proportional to 854.40, 1,178.56 and 592 is: 816.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.40 : 1,178.56 = 592 : x
  2. Step 2: Convert to fraction form
    854.40/1,178.56 = 592/x
  3. Step 3: Cross multiply
    854.40x = 1,178.56 × 592
  4. Step 4: Simplify right side
    854.40x = 697,707.52
  5. Step 5: Solve for x
    x = 697,707.52/854.40
  6. Step 6: Final answer
    x = 816.61

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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.