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Finding the Fourth Proportional to 895.42, 1,340.70 and 606.28

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Solution

The fourth proportional to 895.42, 1,340.70 and 606.28 is: 907.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.42 : 1,340.70 = 606.28 : x
  2. Step 2: Convert to fraction form
    895.42/1,340.70 = 606.28/x
  3. Step 3: Cross multiply
    895.42x = 1,340.70 × 606.28
  4. Step 4: Simplify right side
    895.42x = 812,839.60
  5. Step 5: Solve for x
    x = 812,839.60/895.42
  6. Step 6: Final answer
    x = 907.77

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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.