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Finding the Fourth Proportional to 1,071.56, 1,478.36 and 651.74

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Solution

The fourth proportional to 1,071.56, 1,478.36 and 651.74 is: 899.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.56 : 1,478.36 = 651.74 : x
  2. Step 2: Convert to fraction form
    1,071.56/1,478.36 = 651.74/x
  3. Step 3: Cross multiply
    1,071.56x = 1,478.36 × 651.74
  4. Step 4: Simplify right side
    1,071.56x = 963,506.35
  5. Step 5: Solve for x
    x = 963,506.35/1,071.56
  6. Step 6: Final answer
    x = 899.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.