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Finding the Fourth Proportional to 973.07, 1,460.22 and 395.95

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Solution

The fourth proportional to 973.07, 1,460.22 and 395.95 is: 594.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.07 : 1,460.22 = 395.95 : x
  2. Step 2: Convert to fraction form
    973.07/1,460.22 = 395.95/x
  3. Step 3: Cross multiply
    973.07x = 1,460.22 × 395.95
  4. Step 4: Simplify right side
    973.07x = 578,164.83
  5. Step 5: Solve for x
    x = 578,164.83/973.07
  6. Step 6: Final answer
    x = 594.17

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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.