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Finding the Fourth Proportional to 1,004.95, 1,386.77 and 673.32

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Solution

The fourth proportional to 1,004.95, 1,386.77 and 673.32 is: 929.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.95 : 1,386.77 = 673.32 : x
  2. Step 2: Convert to fraction form
    1,004.95/1,386.77 = 673.32/x
  3. Step 3: Cross multiply
    1,004.95x = 1,386.77 × 673.32
  4. Step 4: Simplify right side
    1,004.95x = 933,739.98
  5. Step 5: Solve for x
    x = 933,739.98/1,004.95
  6. Step 6: Final answer
    x = 929.14

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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.