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Finding the Fourth Proportional to 897.99, 1,239.23 and 524.88

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Solution

The fourth proportional to 897.99, 1,239.23 and 524.88 is: 724.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.99 : 1,239.23 = 524.88 : x
  2. Step 2: Convert to fraction form
    897.99/1,239.23 = 524.88/x
  3. Step 3: Cross multiply
    897.99x = 1,239.23 × 524.88
  4. Step 4: Simplify right side
    897.99x = 650,448.35
  5. Step 5: Solve for x
    x = 650,448.35/897.99
  6. Step 6: Final answer
    x = 724.34

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1.5x scale

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.