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Finding the Fourth Proportional to 1,142.16, 1,587.12 and 1,130.28

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Solution

The fourth proportional to 1,142.16, 1,587.12 and 1,130.28 is: 1,570.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.16 : 1,587.12 = 1,130.28 : x
  2. Step 2: Convert to fraction form
    1,142.16/1,587.12 = 1,130.28/x
  3. Step 3: Cross multiply
    1,142.16x = 1,587.12 × 1,130.28
  4. Step 4: Simplify right side
    1,142.16x = 1,793,889.99
  5. Step 5: Solve for x
    x = 1,793,889.99/1,142.16
  6. Step 6: Final answer
    x = 1,570.61

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.