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Finding the Fourth Proportional to 957.53, 1,434.33 and 566.35

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Solution

The fourth proportional to 957.53, 1,434.33 and 566.35 is: 848.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.53 : 1,434.33 = 566.35 : x
  2. Step 2: Convert to fraction form
    957.53/1,434.33 = 566.35/x
  3. Step 3: Cross multiply
    957.53x = 1,434.33 × 566.35
  4. Step 4: Simplify right side
    957.53x = 812,329.21
  5. Step 5: Solve for x
    x = 812,329.21/957.53
  6. Step 6: Final answer
    x = 848.36

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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.