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Finding the Fourth Proportional to 697.24, 1,039.77 and 595.16

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Solution

The fourth proportional to 697.24, 1,039.77 and 595.16 is: 887.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.24 : 1,039.77 = 595.16 : x
  2. Step 2: Convert to fraction form
    697.24/1,039.77 = 595.16/x
  3. Step 3: Cross multiply
    697.24x = 1,039.77 × 595.16
  4. Step 4: Simplify right side
    697.24x = 618,829.51
  5. Step 5: Solve for x
    x = 618,829.51/697.24
  6. Step 6: Final answer
    x = 887.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.