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Finding the Fourth Proportional to 978.90, 1,466.87 and 783.15

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Solution

The fourth proportional to 978.90, 1,466.87 and 783.15 is: 1,173.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.90 : 1,466.87 = 783.15 : x
  2. Step 2: Convert to fraction form
    978.90/1,466.87 = 783.15/x
  3. Step 3: Cross multiply
    978.90x = 1,466.87 × 783.15
  4. Step 4: Simplify right side
    978.90x = 1,148,775.32
  5. Step 5: Solve for x
    x = 1,148,775.32/978.90
  6. Step 6: Final answer
    x = 1,173.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.