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Finding the Fourth Proportional to 898.59, 1,240.06 and 505.74

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Solution

The fourth proportional to 898.59, 1,240.06 and 505.74 is: 697.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.59 : 1,240.06 = 505.74 : x
  2. Step 2: Convert to fraction form
    898.59/1,240.06 = 505.74/x
  3. Step 3: Cross multiply
    898.59x = 1,240.06 × 505.74
  4. Step 4: Simplify right side
    898.59x = 627,152.28
  5. Step 5: Solve for x
    x = 627,152.28/898.59
  6. Step 6: Final answer
    x = 697.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.