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Finding the Fourth Proportional to 1,355.65, 1,870.70 and 914.15

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Solution

The fourth proportional to 1,355.65, 1,870.70 and 914.15 is: 1,261.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,355.65 : 1,870.70 = 914.15 : x
  2. Step 2: Convert to fraction form
    1,355.65/1,870.70 = 914.15/x
  3. Step 3: Cross multiply
    1,355.65x = 1,870.70 × 914.15
  4. Step 4: Simplify right side
    1,355.65x = 1,710,100.41
  5. Step 5: Solve for x
    x = 1,710,100.41/1,355.65
  6. Step 6: Final answer
    x = 1,261.46

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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.