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Finding the Fourth Proportional to 1,189.59, 1,784.40 and 458.77

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Solution

The fourth proportional to 1,189.59, 1,784.40 and 458.77 is: 688.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189.59 : 1,784.40 = 458.77 : x
  2. Step 2: Convert to fraction form
    1,189.59/1,784.40 = 458.77/x
  3. Step 3: Cross multiply
    1,189.59x = 1,784.40 × 458.77
  4. Step 4: Simplify right side
    1,189.59x = 818,629.19
  5. Step 5: Solve for x
    x = 818,629.19/1,189.59
  6. Step 6: Final answer
    x = 688.16

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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.