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Finding the Fourth Proportional to 1,237.08, 1,706.76 and 712.74

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Solution

The fourth proportional to 1,237.08, 1,706.76 and 712.74 is: 983.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,237.08 : 1,706.76 = 712.74 : x
  2. Step 2: Convert to fraction form
    1,237.08/1,706.76 = 712.74/x
  3. Step 3: Cross multiply
    1,237.08x = 1,706.76 × 712.74
  4. Step 4: Simplify right side
    1,237.08x = 1,216,476.12
  5. Step 5: Solve for x
    x = 1,216,476.12/1,237.08
  6. Step 6: Final answer
    x = 983.34

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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.