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Finding the Fourth Proportional to 1,117.02, 1,676.27 and 630.50

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Solution

The fourth proportional to 1,117.02, 1,676.27 and 630.50 is: 946.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117.02 : 1,676.27 = 630.50 : x
  2. Step 2: Convert to fraction form
    1,117.02/1,676.27 = 630.50/x
  3. Step 3: Cross multiply
    1,117.02x = 1,676.27 × 630.50
  4. Step 4: Simplify right side
    1,117.02x = 1,056,888.24
  5. Step 5: Solve for x
    x = 1,056,888.24/1,117.02
  6. Step 6: Final answer
    x = 946.17

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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.