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Finding the Fourth Proportional to 1,054.84, 1,580.94 and 476.56

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Solution

The fourth proportional to 1,054.84, 1,580.94 and 476.56 is: 714.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.84 : 1,580.94 = 476.56 : x
  2. Step 2: Convert to fraction form
    1,054.84/1,580.94 = 476.56/x
  3. Step 3: Cross multiply
    1,054.84x = 1,580.94 × 476.56
  4. Step 4: Simplify right side
    1,054.84x = 753,412.77
  5. Step 5: Solve for x
    x = 753,412.77/1,054.84
  6. Step 6: Final answer
    x = 714.24

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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.