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Finding the Fourth Proportional to 1,048.00, 1,445.69 and 628.15

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Solution

The fourth proportional to 1,048.00, 1,445.69 and 628.15 is: 866.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048.00 : 1,445.69 = 628.15 : x
  2. Step 2: Convert to fraction form
    1,048.00/1,445.69 = 628.15/x
  3. Step 3: Cross multiply
    1,048.00x = 1,445.69 × 628.15
  4. Step 4: Simplify right side
    1,048.00x = 908,108.13
  5. Step 5: Solve for x
    x = 908,108.13/1,048.00
  6. Step 6: Final answer
    x = 866.52

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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.