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Finding the Fourth Proportional to 623.06, 934.62 and 597.62

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Solution

The fourth proportional to 623.06, 934.62 and 597.62 is: 896.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.06 : 934.62 = 597.62 : x
  2. Step 2: Convert to fraction form
    623.06/934.62 = 597.62/x
  3. Step 3: Cross multiply
    623.06x = 934.62 × 597.62
  4. Step 4: Simplify right side
    623.06x = 558,547.60
  5. Step 5: Solve for x
    x = 558,547.60/623.06
  6. Step 6: Final answer
    x = 896.46

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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.