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Finding the Fourth Proportional to 1,134.09, 1,564.79 and 714.56

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Solution

The fourth proportional to 1,134.09, 1,564.79 and 714.56 is: 985.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,134.09 : 1,564.79 = 714.56 : x
  2. Step 2: Convert to fraction form
    1,134.09/1,564.79 = 714.56/x
  3. Step 3: Cross multiply
    1,134.09x = 1,564.79 × 714.56
  4. Step 4: Simplify right side
    1,134.09x = 1,118,124.95
  5. Step 5: Solve for x
    x = 1,118,124.95/1,134.09
  6. Step 6: Final answer
    x = 985.92

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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.