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Finding the Fourth Proportional to 1,020.04, 1,407.17 and 739.82

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Solution

The fourth proportional to 1,020.04, 1,407.17 and 739.82 is: 1,020.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.04 : 1,407.17 = 739.82 : x
  2. Step 2: Convert to fraction form
    1,020.04/1,407.17 = 739.82/x
  3. Step 3: Cross multiply
    1,020.04x = 1,407.17 × 739.82
  4. Step 4: Simplify right side
    1,020.04x = 1,041,052.51
  5. Step 5: Solve for x
    x = 1,041,052.51/1,020.04
  6. Step 6: Final answer
    x = 1,020.60

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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.