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Finding the Fourth Proportional to 700.05, 966.98 and 567.77

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Solution

The fourth proportional to 700.05, 966.98 and 567.77 is: 784.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.05 : 966.98 = 567.77 : x
  2. Step 2: Convert to fraction form
    700.05/966.98 = 567.77/x
  3. Step 3: Cross multiply
    700.05x = 966.98 × 567.77
  4. Step 4: Simplify right side
    700.05x = 549,018.82
  5. Step 5: Solve for x
    x = 549,018.82/700.05
  6. Step 6: Final answer
    x = 784.26

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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.