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Finding the Fourth Proportional to 907.17, 1,353.35 and 882.06

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Solution

The fourth proportional to 907.17, 1,353.35 and 882.06 is: 1,315.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.17 : 1,353.35 = 882.06 : x
  2. Step 2: Convert to fraction form
    907.17/1,353.35 = 882.06/x
  3. Step 3: Cross multiply
    907.17x = 1,353.35 × 882.06
  4. Step 4: Simplify right side
    907.17x = 1,193,735.90
  5. Step 5: Solve for x
    x = 1,193,735.90/907.17
  6. Step 6: Final answer
    x = 1,315.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.