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Finding the Fourth Proportional to 712.95, 983.72 and 433.34

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Solution

The fourth proportional to 712.95, 983.72 and 433.34 is: 597.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.95 : 983.72 = 433.34 : x
  2. Step 2: Convert to fraction form
    712.95/983.72 = 433.34/x
  3. Step 3: Cross multiply
    712.95x = 983.72 × 433.34
  4. Step 4: Simplify right side
    712.95x = 426,278.14
  5. Step 5: Solve for x
    x = 426,278.14/712.95
  6. Step 6: Final answer
    x = 597.91

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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.