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Finding the Fourth Proportional to 1,530.60, 2,292.82 and 707.72

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Solution

The fourth proportional to 1,530.60, 2,292.82 and 707.72 is: 1,060.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,530.60 : 2,292.82 = 707.72 : x
  2. Step 2: Convert to fraction form
    1,530.60/2,292.82 = 707.72/x
  3. Step 3: Cross multiply
    1,530.60x = 2,292.82 × 707.72
  4. Step 4: Simplify right side
    1,530.60x = 1,622,674.57
  5. Step 5: Solve for x
    x = 1,622,674.57/1,530.60
  6. Step 6: Final answer
    x = 1,060.16

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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.