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Finding the Fourth Proportional to 978.18, 1,465.80 and 392.60

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Solution

The fourth proportional to 978.18, 1,465.80 and 392.60 is: 588.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.18 : 1,465.80 = 392.60 : x
  2. Step 2: Convert to fraction form
    978.18/1,465.80 = 392.60/x
  3. Step 3: Cross multiply
    978.18x = 1,465.80 × 392.60
  4. Step 4: Simplify right side
    978.18x = 575,473.08
  5. Step 5: Solve for x
    x = 575,473.08/978.18
  6. Step 6: Final answer
    x = 588.31

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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.