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Finding the Fourth Proportional to 1,045.23, 1,566.09 and 735.68

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Solution

The fourth proportional to 1,045.23, 1,566.09 and 735.68 is: 1,102.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045.23 : 1,566.09 = 735.68 : x
  2. Step 2: Convert to fraction form
    1,045.23/1,566.09 = 735.68/x
  3. Step 3: Cross multiply
    1,045.23x = 1,566.09 × 735.68
  4. Step 4: Simplify right side
    1,045.23x = 1,152,133.26
  5. Step 5: Solve for x
    x = 1,152,133.26/1,045.23
  6. Step 6: Final answer
    x = 1,102.28

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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.