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Finding the Fourth Proportional to 898.78, 1,347.01 and 410.76

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Solution

The fourth proportional to 898.78, 1,347.01 and 410.76 is: 615.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.78 : 1,347.01 = 410.76 : x
  2. Step 2: Convert to fraction form
    898.78/1,347.01 = 410.76/x
  3. Step 3: Cross multiply
    898.78x = 1,347.01 × 410.76
  4. Step 4: Simplify right side
    898.78x = 553,297.83
  5. Step 5: Solve for x
    x = 553,297.83/898.78
  6. Step 6: Final answer
    x = 615.61

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