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Finding the Fourth Proportional to 978.65, 1,468.23 and 430.94

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Solution

The fourth proportional to 978.65, 1,468.23 and 430.94 is: 646.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.65 : 1,468.23 = 430.94 : x
  2. Step 2: Convert to fraction form
    978.65/1,468.23 = 430.94/x
  3. Step 3: Cross multiply
    978.65x = 1,468.23 × 430.94
  4. Step 4: Simplify right side
    978.65x = 632,719.04
  5. Step 5: Solve for x
    x = 632,719.04/978.65
  6. Step 6: Final answer
    x = 646.52

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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.