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Finding the Fourth Proportional to 1,012.40, 1,522.65 and 907.10

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Solution

The fourth proportional to 1,012.40, 1,522.65 and 907.10 is: 1,364.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012.40 : 1,522.65 = 907.10 : x
  2. Step 2: Convert to fraction form
    1,012.40/1,522.65 = 907.10/x
  3. Step 3: Cross multiply
    1,012.40x = 1,522.65 × 907.10
  4. Step 4: Simplify right side
    1,012.40x = 1,381,195.82
  5. Step 5: Solve for x
    x = 1,381,195.82/1,012.40
  6. Step 6: Final answer
    x = 1,364.28

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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.