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Finding the Fourth Proportional to 1,063.59, 1,586.84 and 946.65

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Solution

The fourth proportional to 1,063.59, 1,586.84 and 946.65 is: 1,412.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,063.59 : 1,586.84 = 946.65 : x
  2. Step 2: Convert to fraction form
    1,063.59/1,586.84 = 946.65/x
  3. Step 3: Cross multiply
    1,063.59x = 1,586.84 × 946.65
  4. Step 4: Simplify right side
    1,063.59x = 1,502,182.09
  5. Step 5: Solve for x
    x = 1,502,182.09/1,063.59
  6. Step 6: Final answer
    x = 1,412.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.