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Finding the Fourth Proportional to 1,056.10, 1,587.30 and 874.66

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Solution

The fourth proportional to 1,056.10, 1,587.30 and 874.66 is: 1,314.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.10 : 1,587.30 = 874.66 : x
  2. Step 2: Convert to fraction form
    1,056.10/1,587.30 = 874.66/x
  3. Step 3: Cross multiply
    1,056.10x = 1,587.30 × 874.66
  4. Step 4: Simplify right side
    1,056.10x = 1,388,347.82
  5. Step 5: Solve for x
    x = 1,388,347.82/1,056.10
  6. Step 6: Final answer
    x = 1,314.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.