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Finding the Fourth Proportional to 1,412.60, 1,948.16 and 852.93

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Solution

The fourth proportional to 1,412.60, 1,948.16 and 852.93 is: 1,176.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.60 : 1,948.16 = 852.93 : x
  2. Step 2: Convert to fraction form
    1,412.60/1,948.16 = 852.93/x
  3. Step 3: Cross multiply
    1,412.60x = 1,948.16 × 852.93
  4. Step 4: Simplify right side
    1,412.60x = 1,661,639.84
  5. Step 5: Solve for x
    x = 1,661,639.84/1,412.60
  6. Step 6: Final answer
    x = 1,176.30

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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.