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Finding the Fourth Proportional to 897.86, 1,347.04 and 410.50

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Solution

The fourth proportional to 897.86, 1,347.04 and 410.50 is: 615.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.86 : 1,347.04 = 410.50 : x
  2. Step 2: Convert to fraction form
    897.86/1,347.04 = 410.50/x
  3. Step 3: Cross multiply
    897.86x = 1,347.04 × 410.50
  4. Step 4: Simplify right side
    897.86x = 552,959.92
  5. Step 5: Solve for x
    x = 552,959.92/897.86
  6. Step 6: Final answer
    x = 615.86

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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.