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Finding the Fourth Proportional to 1,140.18, 1,710.42 and 524.07

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Solution

The fourth proportional to 1,140.18, 1,710.42 and 524.07 is: 786.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,140.18 : 1,710.42 = 524.07 : x
  2. Step 2: Convert to fraction form
    1,140.18/1,710.42 = 524.07/x
  3. Step 3: Cross multiply
    1,140.18x = 1,710.42 × 524.07
  4. Step 4: Simplify right side
    1,140.18x = 896,377.84
  5. Step 5: Solve for x
    x = 896,377.84/1,140.18
  6. Step 6: Final answer
    x = 786.17

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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.