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Finding the Fourth Proportional to 1,046.63, 1,570.05 and 277.13

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Solution

The fourth proportional to 1,046.63, 1,570.05 and 277.13 is: 415.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.63 : 1,570.05 = 277.13 : x
  2. Step 2: Convert to fraction form
    1,046.63/1,570.05 = 277.13/x
  3. Step 3: Cross multiply
    1,046.63x = 1,570.05 × 277.13
  4. Step 4: Simplify right side
    1,046.63x = 435,098.72
  5. Step 5: Solve for x
    x = 435,098.72/1,046.63
  6. Step 6: Final answer
    x = 415.72

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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.