Home / 1,030.40-1,422.34-921.05

Finding the Fourth Proportional to 1,030.40, 1,422.34 and 921.05

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Solution

The fourth proportional to 1,030.40, 1,422.34 and 921.05 is: 1,271.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.40 : 1,422.34 = 921.05 : x
  2. Step 2: Convert to fraction form
    1,030.40/1,422.34 = 921.05/x
  3. Step 3: Cross multiply
    1,030.40x = 1,422.34 × 921.05
  4. Step 4: Simplify right side
    1,030.40x = 1,310,046.26
  5. Step 5: Solve for x
    x = 1,310,046.26/1,030.40
  6. Step 6: Final answer
    x = 1,271.40

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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.