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Finding the Fourth Proportional to 1,130.24, 1,686.70 and 1,007.22

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Solution

The fourth proportional to 1,130.24, 1,686.70 and 1,007.22 is: 1,503.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,130.24 : 1,686.70 = 1,007.22 : x
  2. Step 2: Convert to fraction form
    1,130.24/1,686.70 = 1,007.22/x
  3. Step 3: Cross multiply
    1,130.24x = 1,686.70 × 1,007.22
  4. Step 4: Simplify right side
    1,130.24x = 1,698,877.97
  5. Step 5: Solve for x
    x = 1,698,877.97/1,130.24
  6. Step 6: Final answer
    x = 1,503.11

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.