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Finding the Fourth Proportional to 1,534.71, 2,300.09 and 559.65

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Solution

The fourth proportional to 1,534.71, 2,300.09 and 559.65 is: 838.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,534.71 : 2,300.09 = 559.65 : x
  2. Step 2: Convert to fraction form
    1,534.71/2,300.09 = 559.65/x
  3. Step 3: Cross multiply
    1,534.71x = 2,300.09 × 559.65
  4. Step 4: Simplify right side
    1,534.71x = 1,287,242.57
  5. Step 5: Solve for x
    x = 1,287,242.57/1,534.71
  6. Step 6: Final answer
    x = 838.75

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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.