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Finding the Fourth Proportional to 1,140.05, 1,710.08 and 318.35

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Solution

The fourth proportional to 1,140.05, 1,710.08 and 318.35 is: 477.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,140.05 : 1,710.08 = 318.35 : x
  2. Step 2: Convert to fraction form
    1,140.05/1,710.08 = 318.35/x
  3. Step 3: Cross multiply
    1,140.05x = 1,710.08 × 318.35
  4. Step 4: Simplify right side
    1,140.05x = 544,402.63
  5. Step 5: Solve for x
    x = 544,402.63/1,140.05
  6. Step 6: Final answer
    x = 477.52

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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.