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Finding the Fourth Proportional to 1,373.65, 1,895.17 and 776.06

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Solution

The fourth proportional to 1,373.65, 1,895.17 and 776.06 is: 1,070.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,373.65 : 1,895.17 = 776.06 : x
  2. Step 2: Convert to fraction form
    1,373.65/1,895.17 = 776.06/x
  3. Step 3: Cross multiply
    1,373.65x = 1,895.17 × 776.06
  4. Step 4: Simplify right side
    1,373.65x = 1,470,756.15
  5. Step 5: Solve for x
    x = 1,470,756.15/1,373.65
  6. Step 6: Final answer
    x = 1,070.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.