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Finding the Fourth Proportional to 907.02, 1,358.36 and 445.10

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Solution

The fourth proportional to 907.02, 1,358.36 and 445.10 is: 666.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.02 : 1,358.36 = 445.10 : x
  2. Step 2: Convert to fraction form
    907.02/1,358.36 = 445.10/x
  3. Step 3: Cross multiply
    907.02x = 1,358.36 × 445.10
  4. Step 4: Simplify right side
    907.02x = 604,606.04
  5. Step 5: Solve for x
    x = 604,606.04/907.02
  6. Step 6: Final answer
    x = 666.59

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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.