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Finding the Fourth Proportional to 897.04, 1,237.98 and 524.08

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Solution

The fourth proportional to 897.04, 1,237.98 and 524.08 is: 723.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.04 : 1,237.98 = 524.08 : x
  2. Step 2: Convert to fraction form
    897.04/1,237.98 = 524.08/x
  3. Step 3: Cross multiply
    897.04x = 1,237.98 × 524.08
  4. Step 4: Simplify right side
    897.04x = 648,800.56
  5. Step 5: Solve for x
    x = 648,800.56/897.04
  6. Step 6: Final answer
    x = 723.27

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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.