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Finding the Fourth Proportional to 1,142.84, 1,710.62 and 899.84

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Solution

The fourth proportional to 1,142.84, 1,710.62 and 899.84 is: 1,346.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.84 : 1,710.62 = 899.84 : x
  2. Step 2: Convert to fraction form
    1,142.84/1,710.62 = 899.84/x
  3. Step 3: Cross multiply
    1,142.84x = 1,710.62 × 899.84
  4. Step 4: Simplify right side
    1,142.84x = 1,539,287.45
  5. Step 5: Solve for x
    x = 1,539,287.45/1,142.84
  6. Step 6: Final answer
    x = 1,346.89

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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.