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Finding the Fourth Proportional to 1,171.18, 1,764.85 and 970.24

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Solution

The fourth proportional to 1,171.18, 1,764.85 and 970.24 is: 1,462.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,171.18 : 1,764.85 = 970.24 : x
  2. Step 2: Convert to fraction form
    1,171.18/1,764.85 = 970.24/x
  3. Step 3: Cross multiply
    1,171.18x = 1,764.85 × 970.24
  4. Step 4: Simplify right side
    1,171.18x = 1,712,328.06
  5. Step 5: Solve for x
    x = 1,712,328.06/1,171.18
  6. Step 6: Final answer
    x = 1,462.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.