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Finding the Fourth Proportional to 978.04, 1,466.36 and 457.75

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Solution

The fourth proportional to 978.04, 1,466.36 and 457.75 is: 686.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.04 : 1,466.36 = 457.75 : x
  2. Step 2: Convert to fraction form
    978.04/1,466.36 = 457.75/x
  3. Step 3: Cross multiply
    978.04x = 1,466.36 × 457.75
  4. Step 4: Simplify right side
    978.04x = 671,227.75
  5. Step 5: Solve for x
    x = 671,227.75/978.04
  6. Step 6: Final answer
    x = 686.30

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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.