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Finding the Fourth Proportional to 972.90, 1,459.53 and 510.93

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Solution

The fourth proportional to 972.90, 1,459.53 and 510.93 is: 766.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.90 : 1,459.53 = 510.93 : x
  2. Step 2: Convert to fraction form
    972.90/1,459.53 = 510.93/x
  3. Step 3: Cross multiply
    972.90x = 1,459.53 × 510.93
  4. Step 4: Simplify right side
    972.90x = 745,717.66
  5. Step 5: Solve for x
    x = 745,717.66/972.90
  6. Step 6: Final answer
    x = 766.49

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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.