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Finding the Fourth Proportional to 1,140.16, 1,710.12 and 307.31

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Solution

The fourth proportional to 1,140.16, 1,710.12 and 307.31 is: 460.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,140.16 : 1,710.12 = 307.31 : x
  2. Step 2: Convert to fraction form
    1,140.16/1,710.12 = 307.31/x
  3. Step 3: Cross multiply
    1,140.16x = 1,710.12 × 307.31
  4. Step 4: Simplify right side
    1,140.16x = 525,536.98
  5. Step 5: Solve for x
    x = 525,536.98/1,140.16
  6. Step 6: Final answer
    x = 460.93

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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.