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Finding the Fourth Proportional to 895.71, 1,342.80 and 340.11

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Solution

The fourth proportional to 895.71, 1,342.80 and 340.11 is: 509.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.71 : 1,342.80 = 340.11 : x
  2. Step 2: Convert to fraction form
    895.71/1,342.80 = 340.11/x
  3. Step 3: Cross multiply
    895.71x = 1,342.80 × 340.11
  4. Step 4: Simplify right side
    895.71x = 456,693.40
  5. Step 5: Solve for x
    x = 456,693.40/895.71
  6. Step 6: Final answer
    x = 509.87

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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.