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Finding the Fourth Proportional to 1,358.98, 1,875.15 and 854.55

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Solution

The fourth proportional to 1,358.98, 1,875.15 and 854.55 is: 1,179.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,358.98 : 1,875.15 = 854.55 : x
  2. Step 2: Convert to fraction form
    1,358.98/1,875.15 = 854.55/x
  3. Step 3: Cross multiply
    1,358.98x = 1,875.15 × 854.55
  4. Step 4: Simplify right side
    1,358.98x = 1,602,409.43
  5. Step 5: Solve for x
    x = 1,602,409.43/1,358.98
  6. Step 6: Final answer
    x = 1,179.13

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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.