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Finding the Fourth Proportional to 1,130.07, 1,695.12 and 350.06

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Solution

The fourth proportional to 1,130.07, 1,695.12 and 350.06 is: 525.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,130.07 : 1,695.12 = 350.06 : x
  2. Step 2: Convert to fraction form
    1,130.07/1,695.12 = 350.06/x
  3. Step 3: Cross multiply
    1,130.07x = 1,695.12 × 350.06
  4. Step 4: Simplify right side
    1,130.07x = 593,393.71
  5. Step 5: Solve for x
    x = 593,393.71/1,130.07
  6. Step 6: Final answer
    x = 525.09

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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.