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Finding the Fourth Proportional to 1,484.58, 2,223.58 and 962.99

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Solution

The fourth proportional to 1,484.58, 2,223.58 and 962.99 is: 1,442.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,484.58 : 2,223.58 = 962.99 : x
  2. Step 2: Convert to fraction form
    1,484.58/2,223.58 = 962.99/x
  3. Step 3: Cross multiply
    1,484.58x = 2,223.58 × 962.99
  4. Step 4: Simplify right side
    1,484.58x = 2,141,279.21
  5. Step 5: Solve for x
    x = 2,141,279.21/1,484.58
  6. Step 6: Final answer
    x = 1,442.35

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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.