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Finding the Fourth Proportional to 977.03, 1,347.59 and 603.87

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Solution

The fourth proportional to 977.03, 1,347.59 and 603.87 is: 832.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.03 : 1,347.59 = 603.87 : x
  2. Step 2: Convert to fraction form
    977.03/1,347.59 = 603.87/x
  3. Step 3: Cross multiply
    977.03x = 1,347.59 × 603.87
  4. Step 4: Simplify right side
    977.03x = 813,766.15
  5. Step 5: Solve for x
    x = 813,766.15/977.03
  6. Step 6: Final answer
    x = 832.90

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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.