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Finding the Fourth Proportional to 1,004.76, 1,386.06 and 742.32

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Solution

The fourth proportional to 1,004.76, 1,386.06 and 742.32 is: 1,024.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.76 : 1,386.06 = 742.32 : x
  2. Step 2: Convert to fraction form
    1,004.76/1,386.06 = 742.32/x
  3. Step 3: Cross multiply
    1,004.76x = 1,386.06 × 742.32
  4. Step 4: Simplify right side
    1,004.76x = 1,028,900.06
  5. Step 5: Solve for x
    x = 1,028,900.06/1,004.76
  6. Step 6: Final answer
    x = 1,024.03

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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.