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Finding the Fourth Proportional to 897.20, 1,238.08 and 498.84

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Solution

The fourth proportional to 897.20, 1,238.08 and 498.84 is: 688.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.20 : 1,238.08 = 498.84 : x
  2. Step 2: Convert to fraction form
    897.20/1,238.08 = 498.84/x
  3. Step 3: Cross multiply
    897.20x = 1,238.08 × 498.84
  4. Step 4: Simplify right side
    897.20x = 617,603.83
  5. Step 5: Solve for x
    x = 617,603.83/897.20
  6. Step 6: Final answer
    x = 688.37

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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.