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Finding the Fourth Proportional to 1,030.42, 1,422.60 and 676.90

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Solution

The fourth proportional to 1,030.42, 1,422.60 and 676.90 is: 934.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.42 : 1,422.60 = 676.90 : x
  2. Step 2: Convert to fraction form
    1,030.42/1,422.60 = 676.90/x
  3. Step 3: Cross multiply
    1,030.42x = 1,422.60 × 676.90
  4. Step 4: Simplify right side
    1,030.42x = 962,957.94
  5. Step 5: Solve for x
    x = 962,957.94/1,030.42
  6. Step 6: Final answer
    x = 934.53

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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.