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Finding the Fourth Proportional to 1,057.02, 1,585.61 and 287.50

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Solution

The fourth proportional to 1,057.02, 1,585.61 and 287.50 is: 431.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.02 : 1,585.61 = 287.50 : x
  2. Step 2: Convert to fraction form
    1,057.02/1,585.61 = 287.50/x
  3. Step 3: Cross multiply
    1,057.02x = 1,585.61 × 287.50
  4. Step 4: Simplify right side
    1,057.02x = 455,862.88
  5. Step 5: Solve for x
    x = 455,862.88/1,057.02
  6. Step 6: Final answer
    x = 431.27

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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.