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Finding the Fourth Proportional to 972.52, 1,459.66 and 510.60

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Solution

The fourth proportional to 972.52, 1,459.66 and 510.60 is: 766.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.52 : 1,459.66 = 510.60 : x
  2. Step 2: Convert to fraction form
    972.52/1,459.66 = 510.60/x
  3. Step 3: Cross multiply
    972.52x = 1,459.66 × 510.60
  4. Step 4: Simplify right side
    972.52x = 745,302.40
  5. Step 5: Solve for x
    x = 745,302.40/972.52
  6. Step 6: Final answer
    x = 766.36

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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.