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Finding the Fourth Proportional to 1,129.04, 1,557.72 and 631.60

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Solution

The fourth proportional to 1,129.04, 1,557.72 and 631.60 is: 871.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,129.04 : 1,557.72 = 631.60 : x
  2. Step 2: Convert to fraction form
    1,129.04/1,557.72 = 631.60/x
  3. Step 3: Cross multiply
    1,129.04x = 1,557.72 × 631.60
  4. Step 4: Simplify right side
    1,129.04x = 983,855.95
  5. Step 5: Solve for x
    x = 983,855.95/1,129.04
  6. Step 6: Final answer
    x = 871.41

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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.