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Finding the Fourth Proportional to 1,298.14, 1,792.68 and 1,032.45

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Solution

The fourth proportional to 1,298.14, 1,792.68 and 1,032.45 is: 1,425.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.14 : 1,792.68 = 1,032.45 : x
  2. Step 2: Convert to fraction form
    1,298.14/1,792.68 = 1,032.45/x
  3. Step 3: Cross multiply
    1,298.14x = 1,792.68 × 1,032.45
  4. Step 4: Simplify right side
    1,298.14x = 1,850,852.49
  5. Step 5: Solve for x
    x = 1,850,852.49/1,298.14
  6. Step 6: Final answer
    x = 1,425.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.