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Finding the Fourth Proportional to 970.02, 1,455.12 and 507.78

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Solution

The fourth proportional to 970.02, 1,455.12 and 507.78 is: 761.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.02 : 1,455.12 = 507.78 : x
  2. Step 2: Convert to fraction form
    970.02/1,455.12 = 507.78/x
  3. Step 3: Cross multiply
    970.02x = 1,455.12 × 507.78
  4. Step 4: Simplify right side
    970.02x = 738,880.83
  5. Step 5: Solve for x
    x = 738,880.83/970.02
  6. Step 6: Final answer
    x = 761.72

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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.