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Finding the Fourth Proportional to 1,090, 1,503.80 and 697.24

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Solution

The fourth proportional to 1,090, 1,503.80 and 697.24 is: 961.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,090 : 1,503.80 = 697.24 : x
  2. Step 2: Convert to fraction form
    1,090/1,503.80 = 697.24/x
  3. Step 3: Cross multiply
    1,090x = 1,503.80 × 697.24
  4. Step 4: Simplify right side
    1,090x = 1,048,509.51
  5. Step 5: Solve for x
    x = 1,048,509.51/1,090
  6. Step 6: Final answer
    x = 961.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.