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Finding the Fourth Proportional to 970.31, 1,462.77 and 907.67

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Solution

The fourth proportional to 970.31, 1,462.77 and 907.67 is: 1,368.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.31 : 1,462.77 = 907.67 : x
  2. Step 2: Convert to fraction form
    970.31/1,462.77 = 907.67/x
  3. Step 3: Cross multiply
    970.31x = 1,462.77 × 907.67
  4. Step 4: Simplify right side
    970.31x = 1,327,705.13
  5. Step 5: Solve for x
    x = 1,327,705.13/970.31
  6. Step 6: Final answer
    x = 1,368.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.