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Finding the Fourth Proportional to 972.89, 1,458.47 and 356.18

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Solution

The fourth proportional to 972.89, 1,458.47 and 356.18 is: 533.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.89 : 1,458.47 = 356.18 : x
  2. Step 2: Convert to fraction form
    972.89/1,458.47 = 356.18/x
  3. Step 3: Cross multiply
    972.89x = 1,458.47 × 356.18
  4. Step 4: Simplify right side
    972.89x = 519,479.65
  5. Step 5: Solve for x
    x = 519,479.65/972.89
  6. Step 6: Final answer
    x = 533.95

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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.