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Finding the Fourth Proportional to 930.40, 1,284.14 and 537.37

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Solution

The fourth proportional to 930.40, 1,284.14 and 537.37 is: 741.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.40 : 1,284.14 = 537.37 : x
  2. Step 2: Convert to fraction form
    930.40/1,284.14 = 537.37/x
  3. Step 3: Cross multiply
    930.40x = 1,284.14 × 537.37
  4. Step 4: Simplify right side
    930.40x = 690,058.31
  5. Step 5: Solve for x
    x = 690,058.31/930.40
  6. Step 6: Final answer
    x = 741.68

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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.