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Finding the Fourth Proportional to 1,047.64, 1,571.45 and 430.91

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Solution

The fourth proportional to 1,047.64, 1,571.45 and 430.91 is: 646.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.64 : 1,571.45 = 430.91 : x
  2. Step 2: Convert to fraction form
    1,047.64/1,571.45 = 430.91/x
  3. Step 3: Cross multiply
    1,047.64x = 1,571.45 × 430.91
  4. Step 4: Simplify right side
    1,047.64x = 677,153.52
  5. Step 5: Solve for x
    x = 677,153.52/1,047.64
  6. Step 6: Final answer
    x = 646.36

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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.