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Finding the Fourth Proportional to 837.04, 1,254.48 and 580

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Solution

The fourth proportional to 837.04, 1,254.48 and 580 is: 869.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.04 : 1,254.48 = 580 : x
  2. Step 2: Convert to fraction form
    837.04/1,254.48 = 580/x
  3. Step 3: Cross multiply
    837.04x = 1,254.48 × 580
  4. Step 4: Simplify right side
    837.04x = 727,598.40
  5. Step 5: Solve for x
    x = 727,598.40/837.04
  6. Step 6: Final answer
    x = 869.25

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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.