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Finding the Fourth Proportional to 953.29, 1,423.58 and 841.51

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Solution

The fourth proportional to 953.29, 1,423.58 and 841.51 is: 1,256.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.29 : 1,423.58 = 841.51 : x
  2. Step 2: Convert to fraction form
    953.29/1,423.58 = 841.51/x
  3. Step 3: Cross multiply
    953.29x = 1,423.58 × 841.51
  4. Step 4: Simplify right side
    953.29x = 1,197,956.81
  5. Step 5: Solve for x
    x = 1,197,956.81/953.29
  6. Step 6: Final answer
    x = 1,256.66

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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.