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Finding the Fourth Proportional to 1,050.16, 1,450.02 and 657.88

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Solution

The fourth proportional to 1,050.16, 1,450.02 and 657.88 is: 908.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,050.16 : 1,450.02 = 657.88 : x
  2. Step 2: Convert to fraction form
    1,050.16/1,450.02 = 657.88/x
  3. Step 3: Cross multiply
    1,050.16x = 1,450.02 × 657.88
  4. Step 4: Simplify right side
    1,050.16x = 953,939.16
  5. Step 5: Solve for x
    x = 953,939.16/1,050.16
  6. Step 6: Final answer
    x = 908.38

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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.