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Finding the Fourth Proportional to 1,386.70, 1,913.18 and 889.61

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Solution

The fourth proportional to 1,386.70, 1,913.18 and 889.61 is: 1,227.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,386.70 : 1,913.18 = 889.61 : x
  2. Step 2: Convert to fraction form
    1,386.70/1,913.18 = 889.61/x
  3. Step 3: Cross multiply
    1,386.70x = 1,913.18 × 889.61
  4. Step 4: Simplify right side
    1,386.70x = 1,701,981.50
  5. Step 5: Solve for x
    x = 1,701,981.50/1,386.70
  6. Step 6: Final answer
    x = 1,227.36

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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.