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Finding the Fourth Proportional to 1,066.40, 1,598.52 and 578.42

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Solution

The fourth proportional to 1,066.40, 1,598.52 and 578.42 is: 867.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.40 : 1,598.52 = 578.42 : x
  2. Step 2: Convert to fraction form
    1,066.40/1,598.52 = 578.42/x
  3. Step 3: Cross multiply
    1,066.40x = 1,598.52 × 578.42
  4. Step 4: Simplify right side
    1,066.40x = 924,615.94
  5. Step 5: Solve for x
    x = 924,615.94/1,066.40
  6. Step 6: Final answer
    x = 867.04

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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.