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Finding the Fourth Proportional to 710.76, 1,066.35 and 467.01

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Solution

The fourth proportional to 710.76, 1,066.35 and 467.01 is: 700.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.76 : 1,066.35 = 467.01 : x
  2. Step 2: Convert to fraction form
    710.76/1,066.35 = 467.01/x
  3. Step 3: Cross multiply
    710.76x = 1,066.35 × 467.01
  4. Step 4: Simplify right side
    710.76x = 497,996.11
  5. Step 5: Solve for x
    x = 497,996.11/710.76
  6. Step 6: Final answer
    x = 700.65

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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.