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Finding the Fourth Proportional to 784.09, 1,082.06 and 430.03

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Solution

The fourth proportional to 784.09, 1,082.06 and 430.03 is: 593.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.09 : 1,082.06 = 430.03 : x
  2. Step 2: Convert to fraction form
    784.09/1,082.06 = 430.03/x
  3. Step 3: Cross multiply
    784.09x = 1,082.06 × 430.03
  4. Step 4: Simplify right side
    784.09x = 465,314.60
  5. Step 5: Solve for x
    x = 465,314.60/784.09
  6. Step 6: Final answer
    x = 593.45

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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.