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Finding the Fourth Proportional to 970.95, 1,455.67 and 508.41

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Solution

The fourth proportional to 970.95, 1,455.67 and 508.41 is: 762.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.95 : 1,455.67 = 508.41 : x
  2. Step 2: Convert to fraction form
    970.95/1,455.67 = 508.41/x
  3. Step 3: Cross multiply
    970.95x = 1,455.67 × 508.41
  4. Step 4: Simplify right side
    970.95x = 740,077.82
  5. Step 5: Solve for x
    x = 740,077.82/970.95
  6. Step 6: Final answer
    x = 762.22

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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.