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Finding the Fourth Proportional to 1,084.51, 1,496.16 and 711.01

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Solution

The fourth proportional to 1,084.51, 1,496.16 and 711.01 is: 980.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,084.51 : 1,496.16 = 711.01 : x
  2. Step 2: Convert to fraction form
    1,084.51/1,496.16 = 711.01/x
  3. Step 3: Cross multiply
    1,084.51x = 1,496.16 × 711.01
  4. Step 4: Simplify right side
    1,084.51x = 1,063,780.98
  5. Step 5: Solve for x
    x = 1,063,780.98/1,084.51
  6. Step 6: Final answer
    x = 980.89

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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.