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Finding the Fourth Proportional to 1,030.71, 1,422.72 and 921.36

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Solution

The fourth proportional to 1,030.71, 1,422.72 and 921.36 is: 1,271.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.71 : 1,422.72 = 921.36 : x
  2. Step 2: Convert to fraction form
    1,030.71/1,422.72 = 921.36/x
  3. Step 3: Cross multiply
    1,030.71x = 1,422.72 × 921.36
  4. Step 4: Simplify right side
    1,030.71x = 1,310,837.30
  5. Step 5: Solve for x
    x = 1,310,837.30/1,030.71
  6. Step 6: Final answer
    x = 1,271.78

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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.