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Finding the Fourth Proportional to 1,156.98, 1,596.42 and 784.74

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Solution

The fourth proportional to 1,156.98, 1,596.42 and 784.74 is: 1,082.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.98 : 1,596.42 = 784.74 : x
  2. Step 2: Convert to fraction form
    1,156.98/1,596.42 = 784.74/x
  3. Step 3: Cross multiply
    1,156.98x = 1,596.42 × 784.74
  4. Step 4: Simplify right side
    1,156.98x = 1,252,774.63
  5. Step 5: Solve for x
    x = 1,252,774.63/1,156.98
  6. Step 6: Final answer
    x = 1,082.80

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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.