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Finding the Fourth Proportional to 795.48, 1,192.50 and 507

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Solution

The fourth proportional to 795.48, 1,192.50 and 507 is: 760.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.48 : 1,192.50 = 507 : x
  2. Step 2: Convert to fraction form
    795.48/1,192.50 = 507/x
  3. Step 3: Cross multiply
    795.48x = 1,192.50 × 507
  4. Step 4: Simplify right side
    795.48x = 604,597.50
  5. Step 5: Solve for x
    x = 604,597.50/795.48
  6. Step 6: Final answer
    x = 760.04

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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.