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Finding the Fourth Proportional to 897.04, 1,346.10 and 434.98

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Solution

The fourth proportional to 897.04, 1,346.10 and 434.98 is: 652.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.04 : 1,346.10 = 434.98 : x
  2. Step 2: Convert to fraction form
    897.04/1,346.10 = 434.98/x
  3. Step 3: Cross multiply
    897.04x = 1,346.10 × 434.98
  4. Step 4: Simplify right side
    897.04x = 585,526.58
  5. Step 5: Solve for x
    x = 585,526.58/897.04
  6. Step 6: Final answer
    x = 652.73

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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.