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Finding the Fourth Proportional to 1,084.94, 1,497.14 and 711.34

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Solution

The fourth proportional to 1,084.94, 1,497.14 and 711.34 is: 981.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,084.94 : 1,497.14 = 711.34 : x
  2. Step 2: Convert to fraction form
    1,084.94/1,497.14 = 711.34/x
  3. Step 3: Cross multiply
    1,084.94x = 1,497.14 × 711.34
  4. Step 4: Simplify right side
    1,084.94x = 1,064,975.57
  5. Step 5: Solve for x
    x = 1,064,975.57/1,084.94
  6. Step 6: Final answer
    x = 981.60

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1.5x scale

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.