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Finding the Fourth Proportional to 977.59, 1,463.54 and 760.51

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Solution

The fourth proportional to 977.59, 1,463.54 and 760.51 is: 1,138.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.59 : 1,463.54 = 760.51 : x
  2. Step 2: Convert to fraction form
    977.59/1,463.54 = 760.51/x
  3. Step 3: Cross multiply
    977.59x = 1,463.54 × 760.51
  4. Step 4: Simplify right side
    977.59x = 1,113,029.49
  5. Step 5: Solve for x
    x = 1,113,029.49/977.59
  6. Step 6: Final answer
    x = 1,138.55

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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.