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Finding the Fourth Proportional to 1,157.49, 1,597.19 and 784.28

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Solution

The fourth proportional to 1,157.49, 1,597.19 and 784.28 is: 1,082.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157.49 : 1,597.19 = 784.28 : x
  2. Step 2: Convert to fraction form
    1,157.49/1,597.19 = 784.28/x
  3. Step 3: Cross multiply
    1,157.49x = 1,597.19 × 784.28
  4. Step 4: Simplify right side
    1,157.49x = 1,252,644.24
  5. Step 5: Solve for x
    x = 1,252,644.24/1,157.49
  6. Step 6: Final answer
    x = 1,082.21

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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.