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Finding the Fourth Proportional to 1,159.93, 1,748.55 and 1,061.41

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Solution

The fourth proportional to 1,159.93, 1,748.55 and 1,061.41 is: 1,600.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.93 : 1,748.55 = 1,061.41 : x
  2. Step 2: Convert to fraction form
    1,159.93/1,748.55 = 1,061.41/x
  3. Step 3: Cross multiply
    1,159.93x = 1,748.55 × 1,061.41
  4. Step 4: Simplify right side
    1,159.93x = 1,855,931.34
  5. Step 5: Solve for x
    x = 1,855,931.34/1,159.93
  6. Step 6: Final answer
    x = 1,600.04

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.