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Finding the Fourth Proportional to 1,455.19, 2,007.95 and 825.51

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Solution

The fourth proportional to 1,455.19, 2,007.95 and 825.51 is: 1,139.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,455.19 : 2,007.95 = 825.51 : x
  2. Step 2: Convert to fraction form
    1,455.19/2,007.95 = 825.51/x
  3. Step 3: Cross multiply
    1,455.19x = 2,007.95 × 825.51
  4. Step 4: Simplify right side
    1,455.19x = 1,657,582.80
  5. Step 5: Solve for x
    x = 1,657,582.80/1,455.19
  6. Step 6: Final answer
    x = 1,139.08

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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.