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Finding the Fourth Proportional to 897.84, 1,345.44 and 486.72

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Solution

The fourth proportional to 897.84, 1,345.44 and 486.72 is: 729.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.84 : 1,345.44 = 486.72 : x
  2. Step 2: Convert to fraction form
    897.84/1,345.44 = 486.72/x
  3. Step 3: Cross multiply
    897.84x = 1,345.44 × 486.72
  4. Step 4: Simplify right side
    897.84x = 654,852.56
  5. Step 5: Solve for x
    x = 654,852.56/897.84
  6. Step 6: Final answer
    x = 729.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.