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Finding the Fourth Proportional to 1,415.59, 2,123.36 and 770.42

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Solution

The fourth proportional to 1,415.59, 2,123.36 and 770.42 is: 1,155.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.59 : 2,123.36 = 770.42 : x
  2. Step 2: Convert to fraction form
    1,415.59/2,123.36 = 770.42/x
  3. Step 3: Cross multiply
    1,415.59x = 2,123.36 × 770.42
  4. Step 4: Simplify right side
    1,415.59x = 1,635,875.16
  5. Step 5: Solve for x
    x = 1,635,875.16/1,415.59
  6. Step 6: Final answer
    x = 1,155.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.