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Finding the Fourth Proportional to 870.72, 1,300.64 and 741.12

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Solution

The fourth proportional to 870.72, 1,300.64 and 741.12 is: 1,107.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.72 : 1,300.64 = 741.12 : x
  2. Step 2: Convert to fraction form
    870.72/1,300.64 = 741.12/x
  3. Step 3: Cross multiply
    870.72x = 1,300.64 × 741.12
  4. Step 4: Simplify right side
    870.72x = 963,930.32
  5. Step 5: Solve for x
    x = 963,930.32/870.72
  6. Step 6: Final answer
    x = 1,107.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.