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Finding the Fourth Proportional to 929.79, 1,283.06 and 510.13

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Solution

The fourth proportional to 929.79, 1,283.06 and 510.13 is: 703.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.79 : 1,283.06 = 510.13 : x
  2. Step 2: Convert to fraction form
    929.79/1,283.06 = 510.13/x
  3. Step 3: Cross multiply
    929.79x = 1,283.06 × 510.13
  4. Step 4: Simplify right side
    929.79x = 654,527.40
  5. Step 5: Solve for x
    x = 654,527.40/929.79
  6. Step 6: Final answer
    x = 703.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.