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Finding the Fourth Proportional to 1,355.16, 1,870.13 and 795.64

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Solution

The fourth proportional to 1,355.16, 1,870.13 and 795.64 is: 1,097.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,355.16 : 1,870.13 = 795.64 : x
  2. Step 2: Convert to fraction form
    1,355.16/1,870.13 = 795.64/x
  3. Step 3: Cross multiply
    1,355.16x = 1,870.13 × 795.64
  4. Step 4: Simplify right side
    1,355.16x = 1,487,950.23
  5. Step 5: Solve for x
    x = 1,487,950.23/1,355.16
  6. Step 6: Final answer
    x = 1,097.99

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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.