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Finding the Fourth Proportional to 612.84, 915.27 and 503.40

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Solution

The fourth proportional to 612.84, 915.27 and 503.40 is: 751.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.84 : 915.27 = 503.40 : x
  2. Step 2: Convert to fraction form
    612.84/915.27 = 503.40/x
  3. Step 3: Cross multiply
    612.84x = 915.27 × 503.40
  4. Step 4: Simplify right side
    612.84x = 460,746.92
  5. Step 5: Solve for x
    x = 460,746.92/612.84
  6. Step 6: Final answer
    x = 751.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.