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Finding the Fourth Proportional to 970.16, 1,454.72 and 507.84

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Solution

The fourth proportional to 970.16, 1,454.72 and 507.84 is: 761.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.16 : 1,454.72 = 507.84 : x
  2. Step 2: Convert to fraction form
    970.16/1,454.72 = 507.84/x
  3. Step 3: Cross multiply
    970.16x = 1,454.72 × 507.84
  4. Step 4: Simplify right side
    970.16x = 738,765.00
  5. Step 5: Solve for x
    x = 738,765.00/970.16
  6. Step 6: Final answer
    x = 761.49

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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.