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Finding the Fourth Proportional to 897.52, 1,346.70 and 435.22

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Solution

The fourth proportional to 897.52, 1,346.70 and 435.22 is: 653.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.52 : 1,346.70 = 435.22 : x
  2. Step 2: Convert to fraction form
    897.52/1,346.70 = 435.22/x
  3. Step 3: Cross multiply
    897.52x = 1,346.70 × 435.22
  4. Step 4: Simplify right side
    897.52x = 586,110.77
  5. Step 5: Solve for x
    x = 586,110.77/897.52
  6. Step 6: Final answer
    x = 653.03

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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.