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Finding the Fourth Proportional to 766,565, 1,057,293 and 562,547

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Solution

The fourth proportional to 766,565, 1,057,293 and 562,547 is: 775,898.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,565 : 1,057,293 = 562,547 : x
  2. Step 2: Convert to fraction form
    766,565/1,057,293 = 562,547/x
  3. Step 3: Cross multiply
    766,565x = 1,057,293 × 562,547
  4. Step 4: Simplify right side
    766,565x = 594,777,005,271
  5. Step 5: Solve for x
    x = 594,777,005,271/766,565
  6. Step 6: Final answer
    x = 775,898.98

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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.