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Finding the Fourth Proportional to 997.04, 1,495.05 and 586.30

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Solution

The fourth proportional to 997.04, 1,495.05 and 586.30 is: 879.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.04 : 1,495.05 = 586.30 : x
  2. Step 2: Convert to fraction form
    997.04/1,495.05 = 586.30/x
  3. Step 3: Cross multiply
    997.04x = 1,495.05 × 586.30
  4. Step 4: Simplify right side
    997.04x = 876,547.82
  5. Step 5: Solve for x
    x = 876,547.82/997.04
  6. Step 6: Final answer
    x = 879.15

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1.5x scale

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.