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Finding the Fourth Proportional to 972.59, 1,458.89 and 809.93

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Solution

The fourth proportional to 972.59, 1,458.89 and 809.93 is: 1,214.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.59 : 1,458.89 = 809.93 : x
  2. Step 2: Convert to fraction form
    972.59/1,458.89 = 809.93/x
  3. Step 3: Cross multiply
    972.59x = 1,458.89 × 809.93
  4. Step 4: Simplify right side
    972.59x = 1,181,587.43
  5. Step 5: Solve for x
    x = 1,181,587.43/972.59
  6. Step 6: Final answer
    x = 1,214.89

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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.