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Finding the Fourth Proportional to 670, 924.98 and 522.32

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Solution

The fourth proportional to 670, 924.98 and 522.32 is: 721.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    670 : 924.98 = 522.32 : x
  2. Step 2: Convert to fraction form
    670/924.98 = 522.32/x
  3. Step 3: Cross multiply
    670x = 924.98 × 522.32
  4. Step 4: Simplify right side
    670x = 483,135.55
  5. Step 5: Solve for x
    x = 483,135.55/670
  6. Step 6: Final answer
    x = 721.10

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