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Finding the Fourth Proportional to 1,430.06, 2,145.48 and 552.82

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Solution

The fourth proportional to 1,430.06, 2,145.48 and 552.82 is: 829.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430.06 : 2,145.48 = 552.82 : x
  2. Step 2: Convert to fraction form
    1,430.06/2,145.48 = 552.82/x
  3. Step 3: Cross multiply
    1,430.06x = 2,145.48 × 552.82
  4. Step 4: Simplify right side
    1,430.06x = 1,186,064.25
  5. Step 5: Solve for x
    x = 1,186,064.25/1,430.06
  6. Step 6: Final answer
    x = 829.38

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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.