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Finding the Fourth Proportional to 1,298.76, 1,946.70 and 648.06

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Solution

The fourth proportional to 1,298.76, 1,946.70 and 648.06 is: 971.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.76 : 1,946.70 = 648.06 : x
  2. Step 2: Convert to fraction form
    1,298.76/1,946.70 = 648.06/x
  3. Step 3: Cross multiply
    1,298.76x = 1,946.70 × 648.06
  4. Step 4: Simplify right side
    1,298.76x = 1,261,578.40
  5. Step 5: Solve for x
    x = 1,261,578.40/1,298.76
  6. Step 6: Final answer
    x = 971.37

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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.