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Finding the Fourth Proportional to 1,000.64, 1,500.32 and 307.07

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Solution

The fourth proportional to 1,000.64, 1,500.32 and 307.07 is: 460.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000.64 : 1,500.32 = 307.07 : x
  2. Step 2: Convert to fraction form
    1,000.64/1,500.32 = 307.07/x
  3. Step 3: Cross multiply
    1,000.64x = 1,500.32 × 307.07
  4. Step 4: Simplify right side
    1,000.64x = 460,703.26
  5. Step 5: Solve for x
    x = 460,703.26/1,000.64
  6. Step 6: Final answer
    x = 460.41

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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.