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Finding the Fourth Proportional to 1,173.39, 1,762.10 and 1,041.91

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Solution

The fourth proportional to 1,173.39, 1,762.10 and 1,041.91 is: 1,564.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,173.39 : 1,762.10 = 1,041.91 : x
  2. Step 2: Convert to fraction form
    1,173.39/1,762.10 = 1,041.91/x
  3. Step 3: Cross multiply
    1,173.39x = 1,762.10 × 1,041.91
  4. Step 4: Simplify right side
    1,173.39x = 1,835,951.41
  5. Step 5: Solve for x
    x = 1,835,951.41/1,173.39
  6. Step 6: Final answer
    x = 1,564.66

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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.