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Finding the Fourth Proportional to 985.64, 1,476.98 and 875.62

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Solution

The fourth proportional to 985.64, 1,476.98 and 875.62 is: 1,312.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.64 : 1,476.98 = 875.62 : x
  2. Step 2: Convert to fraction form
    985.64/1,476.98 = 875.62/x
  3. Step 3: Cross multiply
    985.64x = 1,476.98 × 875.62
  4. Step 4: Simplify right side
    985.64x = 1,293,273.23
  5. Step 5: Solve for x
    x = 1,293,273.23/985.64
  6. Step 6: Final answer
    x = 1,312.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.