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Finding the Fourth Proportional to 1,000.47, 1,500.90 and 307.02

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Solution

The fourth proportional to 1,000.47, 1,500.90 and 307.02 is: 460.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000.47 : 1,500.90 = 307.02 : x
  2. Step 2: Convert to fraction form
    1,000.47/1,500.90 = 307.02/x
  3. Step 3: Cross multiply
    1,000.47x = 1,500.90 × 307.02
  4. Step 4: Simplify right side
    1,000.47x = 460,804.08
  5. Step 5: Solve for x
    x = 460,804.08/1,000.47
  6. Step 6: Final answer
    x = 460.59

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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.