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Finding the Fourth Proportional to 975.74, 1,464.15 and 399.02

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Solution

The fourth proportional to 975.74, 1,464.15 and 399.02 is: 598.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.74 : 1,464.15 = 399.02 : x
  2. Step 2: Convert to fraction form
    975.74/1,464.15 = 399.02/x
  3. Step 3: Cross multiply
    975.74x = 1,464.15 × 399.02
  4. Step 4: Simplify right side
    975.74x = 584,225.13
  5. Step 5: Solve for x
    x = 584,225.13/975.74
  6. Step 6: Final answer
    x = 598.75

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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.