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Finding the Fourth Proportional to 710.47, 1,068.14 and 657.01

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Solution

The fourth proportional to 710.47, 1,068.14 and 657.01 is: 987.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.47 : 1,068.14 = 657.01 : x
  2. Step 2: Convert to fraction form
    710.47/1,068.14 = 657.01/x
  3. Step 3: Cross multiply
    710.47x = 1,068.14 × 657.01
  4. Step 4: Simplify right side
    710.47x = 701,775.38
  5. Step 5: Solve for x
    x = 701,775.38/710.47
  6. Step 6: Final answer
    x = 987.76

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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.