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Finding the Fourth Proportional to 897.68, 1,346.68 and 410.77

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Solution

The fourth proportional to 897.68, 1,346.68 and 410.77 is: 616.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.68 : 1,346.68 = 410.77 : x
  2. Step 2: Convert to fraction form
    897.68/1,346.68 = 410.77/x
  3. Step 3: Cross multiply
    897.68x = 1,346.68 × 410.77
  4. Step 4: Simplify right side
    897.68x = 553,175.63
  5. Step 5: Solve for x
    x = 553,175.63/897.68
  6. Step 6: Final answer
    x = 616.23

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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.