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Finding the Fourth Proportional to 1,004.16, 1,498.05 and 957.72

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Solution

The fourth proportional to 1,004.16, 1,498.05 and 957.72 is: 1,428.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.16 : 1,498.05 = 957.72 : x
  2. Step 2: Convert to fraction form
    1,004.16/1,498.05 = 957.72/x
  3. Step 3: Cross multiply
    1,004.16x = 1,498.05 × 957.72
  4. Step 4: Simplify right side
    1,004.16x = 1,434,712.45
  5. Step 5: Solve for x
    x = 1,434,712.45/1,004.16
  6. Step 6: Final answer
    x = 1,428.77

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.