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Finding the Fourth Proportional to 1,068.30, 1,602.45 and 1,011.60

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Solution

The fourth proportional to 1,068.30, 1,602.45 and 1,011.60 is: 1,517.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,068.30 : 1,602.45 = 1,011.60 : x
  2. Step 2: Convert to fraction form
    1,068.30/1,602.45 = 1,011.60/x
  3. Step 3: Cross multiply
    1,068.30x = 1,602.45 × 1,011.60
  4. Step 4: Simplify right side
    1,068.30x = 1,621,038.42
  5. Step 5: Solve for x
    x = 1,621,038.42/1,068.30
  6. Step 6: Final answer
    x = 1,517.40

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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.