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Finding the Fourth Proportional to 1,152.63, 1,720.59 and 1,066.98

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Solution

The fourth proportional to 1,152.63, 1,720.59 and 1,066.98 is: 1,592.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152.63 : 1,720.59 = 1,066.98 : x
  2. Step 2: Convert to fraction form
    1,152.63/1,720.59 = 1,066.98/x
  3. Step 3: Cross multiply
    1,152.63x = 1,720.59 × 1,066.98
  4. Step 4: Simplify right side
    1,152.63x = 1,835,835.12
  5. Step 5: Solve for x
    x = 1,835,835.12/1,152.63
  6. Step 6: Final answer
    x = 1,592.74

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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.