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Finding the Fourth Proportional to 1,355.40, 1,870.46 and 765.93

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Solution

The fourth proportional to 1,355.40, 1,870.46 and 765.93 is: 1,056.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,355.40 : 1,870.46 = 765.93 : x
  2. Step 2: Convert to fraction form
    1,355.40/1,870.46 = 765.93/x
  3. Step 3: Cross multiply
    1,355.40x = 1,870.46 × 765.93
  4. Step 4: Simplify right side
    1,355.40x = 1,432,637.60
  5. Step 5: Solve for x
    x = 1,432,637.60/1,355.40
  6. Step 6: Final answer
    x = 1,056.99

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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.