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Finding the Fourth Proportional to 1,004.57, 1,385.06 and 631.42

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Solution

The fourth proportional to 1,004.57, 1,385.06 and 631.42 is: 870.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.57 : 1,385.06 = 631.42 : x
  2. Step 2: Convert to fraction form
    1,004.57/1,385.06 = 631.42/x
  3. Step 3: Cross multiply
    1,004.57x = 1,385.06 × 631.42
  4. Step 4: Simplify right side
    1,004.57x = 874,554.59
  5. Step 5: Solve for x
    x = 874,554.59/1,004.57
  6. Step 6: Final answer
    x = 870.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.