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Finding the Fourth Proportional to 1,109.29, 1,663.93 and 524.10

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Solution

The fourth proportional to 1,109.29, 1,663.93 and 524.10 is: 786.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.29 : 1,663.93 = 524.10 : x
  2. Step 2: Convert to fraction form
    1,109.29/1,663.93 = 524.10/x
  3. Step 3: Cross multiply
    1,109.29x = 1,663.93 × 524.10
  4. Step 4: Simplify right side
    1,109.29x = 872,060.13
  5. Step 5: Solve for x
    x = 872,060.13/1,109.29
  6. Step 6: Final answer
    x = 786.14

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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.