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Finding the Fourth Proportional to 713.49, 1,070.06 and 251.15

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Solution

The fourth proportional to 713.49, 1,070.06 and 251.15 is: 376.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.49 : 1,070.06 = 251.15 : x
  2. Step 2: Convert to fraction form
    713.49/1,070.06 = 251.15/x
  3. Step 3: Cross multiply
    713.49x = 1,070.06 × 251.15
  4. Step 4: Simplify right side
    713.49x = 268,746.39
  5. Step 5: Solve for x
    x = 268,746.39/713.49
  6. Step 6: Final answer
    x = 376.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.