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Finding the Fourth Proportional to 973.24, 1,342.50 and 580

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Solution

The fourth proportional to 973.24, 1,342.50 and 580 is: 800.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.24 : 1,342.50 = 580 : x
  2. Step 2: Convert to fraction form
    973.24/1,342.50 = 580/x
  3. Step 3: Cross multiply
    973.24x = 1,342.50 × 580
  4. Step 4: Simplify right side
    973.24x = 778,650
  5. Step 5: Solve for x
    x = 778,650/973.24
  6. Step 6: Final answer
    x = 800.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.