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Finding the Fourth Proportional to 1,069.86, 1,476.36 and 597.81

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Solution

The fourth proportional to 1,069.86, 1,476.36 and 597.81 is: 824.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069.86 : 1,476.36 = 597.81 : x
  2. Step 2: Convert to fraction form
    1,069.86/1,476.36 = 597.81/x
  3. Step 3: Cross multiply
    1,069.86x = 1,476.36 × 597.81
  4. Step 4: Simplify right side
    1,069.86x = 882,582.77
  5. Step 5: Solve for x
    x = 882,582.77/1,069.86
  6. Step 6: Final answer
    x = 824.95

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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.