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Finding the Fourth Proportional to 973.19, 1,460.37 and 388.47

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Solution

The fourth proportional to 973.19, 1,460.37 and 388.47 is: 582.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.19 : 1,460.37 = 388.47 : x
  2. Step 2: Convert to fraction form
    973.19/1,460.37 = 388.47/x
  3. Step 3: Cross multiply
    973.19x = 1,460.37 × 388.47
  4. Step 4: Simplify right side
    973.19x = 567,307.99
  5. Step 5: Solve for x
    x = 567,307.99/973.19
  6. Step 6: Final answer
    x = 582.94

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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.