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Finding the Fourth Proportional to 715.64, 1,071.63 and 577.13

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Solution

The fourth proportional to 715.64, 1,071.63 and 577.13 is: 864.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.64 : 1,071.63 = 577.13 : x
  2. Step 2: Convert to fraction form
    715.64/1,071.63 = 577.13/x
  3. Step 3: Cross multiply
    715.64x = 1,071.63 × 577.13
  4. Step 4: Simplify right side
    715.64x = 618,464.46
  5. Step 5: Solve for x
    x = 618,464.46/715.64
  6. Step 6: Final answer
    x = 864.22

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Why These Related Problems?

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