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Finding the Fourth Proportional to 784.79, 1,082.64 and 536.46

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Solution

The fourth proportional to 784.79, 1,082.64 and 536.46 is: 740.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.79 : 1,082.64 = 536.46 : x
  2. Step 2: Convert to fraction form
    784.79/1,082.64 = 536.46/x
  3. Step 3: Cross multiply
    784.79x = 1,082.64 × 536.46
  4. Step 4: Simplify right side
    784.79x = 580,795.07
  5. Step 5: Solve for x
    x = 580,795.07/784.79
  6. Step 6: Final answer
    x = 740.06

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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.