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Finding the Fourth Proportional to 1,087.07, 1,630.65 and 307.13

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Solution

The fourth proportional to 1,087.07, 1,630.65 and 307.13 is: 460.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,087.07 : 1,630.65 = 307.13 : x
  2. Step 2: Convert to fraction form
    1,087.07/1,630.65 = 307.13/x
  3. Step 3: Cross multiply
    1,087.07x = 1,630.65 × 307.13
  4. Step 4: Simplify right side
    1,087.07x = 500,813.38
  5. Step 5: Solve for x
    x = 500,813.38/1,087.07
  6. Step 6: Final answer
    x = 460.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.