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Finding the Fourth Proportional to 978.02, 1,466.37 and 457.75

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Solution

The fourth proportional to 978.02, 1,466.37 and 457.75 is: 686.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.02 : 1,466.37 = 457.75 : x
  2. Step 2: Convert to fraction form
    978.02/1,466.37 = 457.75/x
  3. Step 3: Cross multiply
    978.02x = 1,466.37 × 457.75
  4. Step 4: Simplify right side
    978.02x = 671,230.87
  5. Step 5: Solve for x
    x = 671,230.87/978.02
  6. Step 6: Final answer
    x = 686.32

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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.