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Finding the Fourth Proportional to 972.65, 1,459.56 and 387.55

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Solution

The fourth proportional to 972.65, 1,459.56 and 387.55 is: 581.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.65 : 1,459.56 = 387.55 : x
  2. Step 2: Convert to fraction form
    972.65/1,459.56 = 387.55/x
  3. Step 3: Cross multiply
    972.65x = 1,459.56 × 387.55
  4. Step 4: Simplify right side
    972.65x = 565,652.48
  5. Step 5: Solve for x
    x = 565,652.48/972.65
  6. Step 6: Final answer
    x = 581.56

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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.