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Finding the Fourth Proportional to 1,029.16, 1,430.03 and 1,017

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Solution

The fourth proportional to 1,029.16, 1,430.03 and 1,017 is: 1,413.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.16 : 1,430.03 = 1,017 : x
  2. Step 2: Convert to fraction form
    1,029.16/1,430.03 = 1,017/x
  3. Step 3: Cross multiply
    1,029.16x = 1,430.03 × 1,017
  4. Step 4: Simplify right side
    1,029.16x = 1,454,340.51
  5. Step 5: Solve for x
    x = 1,454,340.51/1,029.16
  6. Step 6: Final answer
    x = 1,413.13

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.