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Finding the Fourth Proportional to 1,056.70, 1,585.05 and 276.65

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Solution

The fourth proportional to 1,056.70, 1,585.05 and 276.65 is: 414.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.70 : 1,585.05 = 276.65 : x
  2. Step 2: Convert to fraction form
    1,056.70/1,585.05 = 276.65/x
  3. Step 3: Cross multiply
    1,056.70x = 1,585.05 × 276.65
  4. Step 4: Simplify right side
    1,056.70x = 438,504.08
  5. Step 5: Solve for x
    x = 438,504.08/1,056.70
  6. Step 6: Final answer
    x = 414.98

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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.