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Finding the Fourth Proportional to 1,176.48, 1,762.85 and 956.03

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Solution

The fourth proportional to 1,176.48, 1,762.85 and 956.03 is: 1,432.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176.48 : 1,762.85 = 956.03 : x
  2. Step 2: Convert to fraction form
    1,176.48/1,762.85 = 956.03/x
  3. Step 3: Cross multiply
    1,176.48x = 1,762.85 × 956.03
  4. Step 4: Simplify right side
    1,176.48x = 1,685,323.89
  5. Step 5: Solve for x
    x = 1,685,323.89/1,176.48
  6. Step 6: Final answer
    x = 1,432.51

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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.