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Finding the Fourth Proportional to 972.58, 1,459.47 and 510.69

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Solution

The fourth proportional to 972.58, 1,459.47 and 510.69 is: 766.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.58 : 1,459.47 = 510.69 : x
  2. Step 2: Convert to fraction form
    972.58/1,459.47 = 510.69/x
  3. Step 3: Cross multiply
    972.58x = 1,459.47 × 510.69
  4. Step 4: Simplify right side
    972.58x = 745,336.12
  5. Step 5: Solve for x
    x = 745,336.12/972.58
  6. Step 6: Final answer
    x = 766.35

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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.