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Finding the Fourth Proportional to 595.89, 894.11 and 570.51

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Solution

The fourth proportional to 595.89, 894.11 and 570.51 is: 856.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.89 : 894.11 = 570.51 : x
  2. Step 2: Convert to fraction form
    595.89/894.11 = 570.51/x
  3. Step 3: Cross multiply
    595.89x = 894.11 × 570.51
  4. Step 4: Simplify right side
    595.89x = 510,095.84
  5. Step 5: Solve for x
    x = 510,095.84/595.89
  6. Step 6: Final answer
    x = 856.02

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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.