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Finding the Fourth Proportional to 1,043.18, 1,430.25 and 1,024.82

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Solution

The fourth proportional to 1,043.18, 1,430.25 and 1,024.82 is: 1,405.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043.18 : 1,430.25 = 1,024.82 : x
  2. Step 2: Convert to fraction form
    1,043.18/1,430.25 = 1,024.82/x
  3. Step 3: Cross multiply
    1,043.18x = 1,430.25 × 1,024.82
  4. Step 4: Simplify right side
    1,043.18x = 1,465,748.81
  5. Step 5: Solve for x
    x = 1,465,748.81/1,043.18
  6. Step 6: Final answer
    x = 1,405.08

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.