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Finding the Fourth Proportional to 978.66, 1,350.52 and 585.67

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Solution

The fourth proportional to 978.66, 1,350.52 and 585.67 is: 808.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.66 : 1,350.52 = 585.67 : x
  2. Step 2: Convert to fraction form
    978.66/1,350.52 = 585.67/x
  3. Step 3: Cross multiply
    978.66x = 1,350.52 × 585.67
  4. Step 4: Simplify right side
    978.66x = 790,959.05
  5. Step 5: Solve for x
    x = 790,959.05/978.66
  6. Step 6: Final answer
    x = 808.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.