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Finding the Fourth Proportional to 1,130.19, 1,695.30 and 945.51

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Solution

The fourth proportional to 1,130.19, 1,695.30 and 945.51 is: 1,418.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,130.19 : 1,695.30 = 945.51 : x
  2. Step 2: Convert to fraction form
    1,130.19/1,695.30 = 945.51/x
  3. Step 3: Cross multiply
    1,130.19x = 1,695.30 × 945.51
  4. Step 4: Simplify right side
    1,130.19x = 1,602,923.10
  5. Step 5: Solve for x
    x = 1,602,923.10/1,130.19
  6. Step 6: Final answer
    x = 1,418.28

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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.