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Finding the Fourth Proportional to 1,057.93, 1,586.71 and 288.25

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Solution

The fourth proportional to 1,057.93, 1,586.71 and 288.25 is: 432.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.93 : 1,586.71 = 288.25 : x
  2. Step 2: Convert to fraction form
    1,057.93/1,586.71 = 288.25/x
  3. Step 3: Cross multiply
    1,057.93x = 1,586.71 × 288.25
  4. Step 4: Simplify right side
    1,057.93x = 457,369.16
  5. Step 5: Solve for x
    x = 457,369.16/1,057.93
  6. Step 6: Final answer
    x = 432.32

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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.