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Finding the Fourth Proportional to 570.06, 784.65 and 510.84

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Solution

The fourth proportional to 570.06, 784.65 and 510.84 is: 703.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.06 : 784.65 = 510.84 : x
  2. Step 2: Convert to fraction form
    570.06/784.65 = 510.84/x
  3. Step 3: Cross multiply
    570.06x = 784.65 × 510.84
  4. Step 4: Simplify right side
    570.06x = 400,830.61
  5. Step 5: Solve for x
    x = 400,830.61/570.06
  6. Step 6: Final answer
    x = 703.14

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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.