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Finding the Fourth Proportional to 673.53, 1,009.44 and 586.50

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Solution

The fourth proportional to 673.53, 1,009.44 and 586.50 is: 879.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.53 : 1,009.44 = 586.50 : x
  2. Step 2: Convert to fraction form
    673.53/1,009.44 = 586.50/x
  3. Step 3: Cross multiply
    673.53x = 1,009.44 × 586.50
  4. Step 4: Simplify right side
    673.53x = 592,036.56
  5. Step 5: Solve for x
    x = 592,036.56/673.53
  6. Step 6: Final answer
    x = 879.01

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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.