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Finding the Fourth Proportional to 1,271.04, 1,905.60 and 501.12

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Solution

The fourth proportional to 1,271.04, 1,905.60 and 501.12 is: 751.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,271.04 : 1,905.60 = 501.12 : x
  2. Step 2: Convert to fraction form
    1,271.04/1,905.60 = 501.12/x
  3. Step 3: Cross multiply
    1,271.04x = 1,905.60 × 501.12
  4. Step 4: Simplify right side
    1,271.04x = 954,934.27
  5. Step 5: Solve for x
    x = 954,934.27/1,271.04
  6. Step 6: Final answer
    x = 751.30

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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.