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Finding the Fourth Proportional to 585.84, 876.63 and 518.40

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Solution

The fourth proportional to 585.84, 876.63 and 518.40 is: 775.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.84 : 876.63 = 518.40 : x
  2. Step 2: Convert to fraction form
    585.84/876.63 = 518.40/x
  3. Step 3: Cross multiply
    585.84x = 876.63 × 518.40
  4. Step 4: Simplify right side
    585.84x = 454,444.59
  5. Step 5: Solve for x
    x = 454,444.59/585.84
  6. Step 6: Final answer
    x = 775.72

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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.