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Finding the Fourth Proportional to 972.90, 1,458.54 and 452.63

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Solution

The fourth proportional to 972.90, 1,458.54 and 452.63 is: 678.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.90 : 1,458.54 = 452.63 : x
  2. Step 2: Convert to fraction form
    972.90/1,458.54 = 452.63/x
  3. Step 3: Cross multiply
    972.90x = 1,458.54 × 452.63
  4. Step 4: Simplify right side
    972.90x = 660,178.96
  5. Step 5: Solve for x
    x = 660,178.96/972.90
  6. Step 6: Final answer
    x = 678.57

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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.