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Finding the Fourth Proportional to 958.74, 1,430.04 and 802.86

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Solution

The fourth proportional to 958.74, 1,430.04 and 802.86 is: 1,197.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    958.74 : 1,430.04 = 802.86 : x
  2. Step 2: Convert to fraction form
    958.74/1,430.04 = 802.86/x
  3. Step 3: Cross multiply
    958.74x = 1,430.04 × 802.86
  4. Step 4: Simplify right side
    958.74x = 1,148,121.91
  5. Step 5: Solve for x
    x = 1,148,121.91/958.74
  6. Step 6: Final answer
    x = 1,197.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.