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Finding the Fourth Proportional to 1,051.18, 1,577.88 and 589.34

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Solution

The fourth proportional to 1,051.18, 1,577.88 and 589.34 is: 884.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051.18 : 1,577.88 = 589.34 : x
  2. Step 2: Convert to fraction form
    1,051.18/1,577.88 = 589.34/x
  3. Step 3: Cross multiply
    1,051.18x = 1,577.88 × 589.34
  4. Step 4: Simplify right side
    1,051.18x = 929,911.74
  5. Step 5: Solve for x
    x = 929,911.74/1,051.18
  6. Step 6: Final answer
    x = 884.64

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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.