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Finding the Fourth Proportional to 977.46, 1,459.47 and 840.66

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Solution

The fourth proportional to 977.46, 1,459.47 and 840.66 is: 1,255.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.46 : 1,459.47 = 840.66 : x
  2. Step 2: Convert to fraction form
    977.46/1,459.47 = 840.66/x
  3. Step 3: Cross multiply
    977.46x = 1,459.47 × 840.66
  4. Step 4: Simplify right side
    977.46x = 1,226,913.85
  5. Step 5: Solve for x
    x = 1,226,913.85/977.46
  6. Step 6: Final answer
    x = 1,255.21

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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.