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Finding the Fourth Proportional to 897.82, 1,239.08 and 524.93

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Solution

The fourth proportional to 897.82, 1,239.08 and 524.93 is: 724.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.82 : 1,239.08 = 524.93 : x
  2. Step 2: Convert to fraction form
    897.82/1,239.08 = 524.93/x
  3. Step 3: Cross multiply
    897.82x = 1,239.08 × 524.93
  4. Step 4: Simplify right side
    897.82x = 650,421.44
  5. Step 5: Solve for x
    x = 650,421.44/897.82
  6. Step 6: Final answer
    x = 724.45

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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.