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Finding the Fourth Proportional to 1,142.01, 1,710.28 and 1,018.99

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Solution

The fourth proportional to 1,142.01, 1,710.28 and 1,018.99 is: 1,526.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.01 : 1,710.28 = 1,018.99 : x
  2. Step 2: Convert to fraction form
    1,142.01/1,710.28 = 1,018.99/x
  3. Step 3: Cross multiply
    1,142.01x = 1,710.28 × 1,018.99
  4. Step 4: Simplify right side
    1,142.01x = 1,742,761.63
  5. Step 5: Solve for x
    x = 1,742,761.63/1,142.01
  6. Step 6: Final answer
    x = 1,526.05

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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.