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Finding the Fourth Proportional to 1,047.04, 1,562.72 and 977.92

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Solution

The fourth proportional to 1,047.04, 1,562.72 and 977.92 is: 1,459.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.04 : 1,562.72 = 977.92 : x
  2. Step 2: Convert to fraction form
    1,047.04/1,562.72 = 977.92/x
  3. Step 3: Cross multiply
    1,047.04x = 1,562.72 × 977.92
  4. Step 4: Simplify right side
    1,047.04x = 1,528,215.14
  5. Step 5: Solve for x
    x = 1,528,215.14/1,047.04
  6. Step 6: Final answer
    x = 1,459.56

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.