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Finding the Fourth Proportional to 1,029.16, 1,543.77 and 370.83

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Solution

The fourth proportional to 1,029.16, 1,543.77 and 370.83 is: 556.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.16 : 1,543.77 = 370.83 : x
  2. Step 2: Convert to fraction form
    1,029.16/1,543.77 = 370.83/x
  3. Step 3: Cross multiply
    1,029.16x = 1,543.77 × 370.83
  4. Step 4: Simplify right side
    1,029.16x = 572,476.23
  5. Step 5: Solve for x
    x = 572,476.23/1,029.16
  6. Step 6: Final answer
    x = 556.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.