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Finding the Fourth Proportional to 973.93, 1,460.08 and 425.71

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Solution

The fourth proportional to 973.93, 1,460.08 and 425.71 is: 638.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.93 : 1,460.08 = 425.71 : x
  2. Step 2: Convert to fraction form
    973.93/1,460.08 = 425.71/x
  3. Step 3: Cross multiply
    973.93x = 1,460.08 × 425.71
  4. Step 4: Simplify right side
    973.93x = 621,570.66
  5. Step 5: Solve for x
    x = 621,570.66/973.93
  6. Step 6: Final answer
    x = 638.21

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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.